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Finding the Fourth Proportional to 284,743.61, 392,929.30 and 157,411.61

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Solution

The fourth proportional to 284,743.61, 392,929.30 and 157,411.61 is: 217,218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,743.61 : 392,929.30 = 157,411.61 : x
  2. Step 2: Convert to fraction form
    284,743.61/392,929.30 = 157,411.61/x
  3. Step 3: Cross multiply
    284,743.61x = 392,929.30 × 157,411.61
  4. Step 4: Simplify right side
    284,743.61x = 61,851,633,729.17
  5. Step 5: Solve for x
    x = 61,851,633,729.17/284,743.61
  6. Step 6: Final answer
    x = 217,218.69

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