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Finding the Fourth Proportional to 547,783.40, 821,675.10 and 311,587.40

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Solution

The fourth proportional to 547,783.40, 821,675.10 and 311,587.40 is: 467,381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,783.40 : 821,675.10 = 311,587.40 : x
  2. Step 2: Convert to fraction form
    547,783.40/821,675.10 = 311,587.40/x
  3. Step 3: Cross multiply
    547,783.40x = 821,675.10 × 311,587.40
  4. Step 4: Simplify right side
    547,783.40x = 256,023,608,053.74
  5. Step 5: Solve for x
    x = 256,023,608,053.74/547,783.40
  6. Step 6: Final answer
    x = 467,381.10

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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.