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Finding the Fourth Proportional to 407,654.35, 611,589.98 and 141,414.44

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Solution

The fourth proportional to 407,654.35, 611,589.98 and 141,414.44 is: 212,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,654.35 : 611,589.98 = 141,414.44 : x
  2. Step 2: Convert to fraction form
    407,654.35/611,589.98 = 141,414.44/x
  3. Step 3: Cross multiply
    407,654.35x = 611,589.98 × 141,414.44
  4. Step 4: Simplify right side
    407,654.35x = 86,487,650,766.29
  5. Step 5: Solve for x
    x = 86,487,650,766.29/407,654.35
  6. Step 6: Final answer
    x = 212,159.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.