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Finding the Fourth Proportional to 284,454.59, 392,531.06 and 169,862.54

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Solution

The fourth proportional to 284,454.59, 392,531.06 and 169,862.54 is: 234,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,454.59 : 392,531.06 = 169,862.54 : x
  2. Step 2: Convert to fraction form
    284,454.59/392,531.06 = 169,862.54/x
  3. Step 3: Cross multiply
    284,454.59x = 392,531.06 × 169,862.54
  4. Step 4: Simplify right side
    284,454.59x = 66,676,321,342.49
  5. Step 5: Solve for x
    x = 66,676,321,342.49/284,454.59
  6. Step 6: Final answer
    x = 234,400.59

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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.