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Finding the Fourth Proportional to 284,660.92, 392,832.14 and 157,336.52

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Solution

The fourth proportional to 284,660.92, 392,832.14 and 157,336.52 is: 217,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,660.92 : 392,832.14 = 157,336.52 : x
  2. Step 2: Convert to fraction form
    284,660.92/392,832.14 = 157,336.52/x
  3. Step 3: Cross multiply
    284,660.92x = 392,832.14 × 157,336.52
  4. Step 4: Simplify right side
    284,660.92x = 61,806,841,851.75
  5. Step 5: Solve for x
    x = 61,806,841,851.75/284,660.92
  6. Step 6: Final answer
    x = 217,124.44

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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.