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Finding the Fourth Proportional to 415,659.20, 573,472.16 and 234,348.48

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Solution

The fourth proportional to 415,659.20, 573,472.16 and 234,348.48 is: 323,323.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,659.20 : 573,472.16 = 234,348.48 : x
  2. Step 2: Convert to fraction form
    415,659.20/573,472.16 = 234,348.48/x
  3. Step 3: Cross multiply
    415,659.20x = 573,472.16 × 234,348.48
  4. Step 4: Simplify right side
    415,659.20x = 134,392,329,018.32
  5. Step 5: Solve for x
    x = 134,392,329,018.32/415,659.20
  6. Step 6: Final answer
    x = 323,323.36

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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.