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Finding the Fourth Proportional to 284,819.14, 393,042.64 and 157,490.38

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Solution

The fourth proportional to 284,819.14, 393,042.64 and 157,490.38 is: 217,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,819.14 : 393,042.64 = 157,490.38 : x
  2. Step 2: Convert to fraction form
    284,819.14/393,042.64 = 157,490.38/x
  3. Step 3: Cross multiply
    284,819.14x = 393,042.64 × 157,490.38
  4. Step 4: Simplify right side
    284,819.14x = 61,900,434,729.80
  5. Step 5: Solve for x
    x = 61,900,434,729.80/284,819.14
  6. Step 6: Final answer
    x = 217,332.43

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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.