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Finding the Fourth Proportional to 548,016.30, 822,024.45 and 311,820.30

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Solution

The fourth proportional to 548,016.30, 822,024.45 and 311,820.30 is: 467,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,016.30 : 822,024.45 = 311,820.30 : x
  2. Step 2: Convert to fraction form
    548,016.30/822,024.45 = 311,820.30/x
  3. Step 3: Cross multiply
    548,016.30x = 822,024.45 × 311,820.30
  4. Step 4: Simplify right side
    548,016.30x = 256,323,910,606.34
  5. Step 5: Solve for x
    x = 256,323,910,606.34/548,016.30
  6. Step 6: Final answer
    x = 467,730.45

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.