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Finding the Fourth Proportional to 284,745.38, 392,956.82 and 157,429.17

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Solution

The fourth proportional to 284,745.38, 392,956.82 and 157,429.17 is: 217,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,745.38 : 392,956.82 = 157,429.17 : x
  2. Step 2: Convert to fraction form
    284,745.38/392,956.82 = 157,429.17/x
  3. Step 3: Cross multiply
    284,745.38x = 392,956.82 × 157,429.17
  4. Step 4: Simplify right side
    284,745.38x = 61,862,865,821.65
  5. Step 5: Solve for x
    x = 61,862,865,821.65/284,745.38
  6. Step 6: Final answer
    x = 217,256.79

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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.