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Finding the Fourth Proportional to 284,389.52, 392,455.13 and 157,062.38

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Solution

The fourth proportional to 284,389.52, 392,455.13 and 157,062.38 is: 216,744.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,389.52 : 392,455.13 = 157,062.38 : x
  2. Step 2: Convert to fraction form
    284,389.52/392,455.13 = 157,062.38/x
  3. Step 3: Cross multiply
    284,389.52x = 392,455.13 × 157,062.38
  4. Step 4: Simplify right side
    284,389.52x = 61,639,934,013.42
  5. Step 5: Solve for x
    x = 61,639,934,013.42/284,389.52
  6. Step 6: Final answer
    x = 216,744.75

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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.