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Finding the Fourth Proportional to 284,542.38, 392,667.68 and 157,217.06

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Solution

The fourth proportional to 284,542.38, 392,667.68 and 157,217.06 is: 216,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,542.38 : 392,667.68 = 157,217.06 : x
  2. Step 2: Convert to fraction form
    284,542.38/392,667.68 = 157,217.06/x
  3. Step 3: Cross multiply
    284,542.38x = 392,667.68 × 157,217.06
  4. Step 4: Simplify right side
    284,542.38x = 61,734,059,581.33
  5. Step 5: Solve for x
    x = 61,734,059,581.33/284,542.38
  6. Step 6: Final answer
    x = 216,959.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.