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Finding the Fourth Proportional to 415,772.97, 573,763.91 and 234,486.46

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Solution

The fourth proportional to 415,772.97, 573,763.91 and 234,486.46 is: 323,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,772.97 : 573,763.91 = 234,486.46 : x
  2. Step 2: Convert to fraction form
    415,772.97/573,763.91 = 234,486.46/x
  3. Step 3: Cross multiply
    415,772.97x = 573,763.91 × 234,486.46
  4. Step 4: Simplify right side
    415,772.97x = 134,539,867,676.43
  5. Step 5: Solve for x
    x = 134,539,867,676.43/415,772.97
  6. Step 6: Final answer
    x = 323,589.74

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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.