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Finding the Fourth Proportional to 284,734.62, 392,942.16 and 157,418.64

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Solution

The fourth proportional to 284,734.62, 392,942.16 and 157,418.64 is: 217,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,734.62 : 392,942.16 = 157,418.64 : x
  2. Step 2: Convert to fraction form
    284,734.62/392,942.16 = 157,418.64/x
  3. Step 3: Cross multiply
    284,734.62x = 392,942.16 × 157,418.64
  4. Step 4: Simplify right side
    284,734.62x = 61,856,420,425.86
  5. Step 5: Solve for x
    x = 61,856,420,425.86/284,734.62
  6. Step 6: Final answer
    x = 217,242.36

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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.