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Finding the Fourth Proportional to 467,443.82, 700,612.14 and 214,511.12

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Solution

The fourth proportional to 467,443.82, 700,612.14 and 214,511.12 is: 321,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,443.82 : 700,612.14 = 214,511.12 : x
  2. Step 2: Convert to fraction form
    467,443.82/700,612.14 = 214,511.12/x
  3. Step 3: Cross multiply
    467,443.82x = 700,612.14 × 214,511.12
  4. Step 4: Simplify right side
    467,443.82x = 150,289,090,261.38
  5. Step 5: Solve for x
    x = 150,289,090,261.38/467,443.82
  6. Step 6: Final answer
    x = 321,512.63

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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.