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Finding the Fourth Proportional to 284,244.52, 392,254.90 and 156,917.38

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Solution

The fourth proportional to 284,244.52, 392,254.90 and 156,917.38 is: 216,544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,244.52 : 392,254.90 = 156,917.38 : x
  2. Step 2: Convert to fraction form
    284,244.52/392,254.90 = 156,917.38/x
  3. Step 3: Cross multiply
    284,244.52x = 392,254.90 × 156,917.38
  4. Step 4: Simplify right side
    284,244.52x = 61,551,611,200.16
  5. Step 5: Solve for x
    x = 61,551,611,200.16/284,244.52
  6. Step 6: Final answer
    x = 216,544.58

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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.