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Finding the Fourth Proportional to 415,902.60, 573,944.40 and 234,613.80

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Solution

The fourth proportional to 415,902.60, 573,944.40 and 234,613.80 is: 323,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,902.60 : 573,944.40 = 234,613.80 : x
  2. Step 2: Convert to fraction form
    415,902.60/573,944.40 = 234,613.80/x
  3. Step 3: Cross multiply
    415,902.60x = 573,944.40 × 234,613.80
  4. Step 4: Simplify right side
    415,902.60x = 134,655,276,672.72
  5. Step 5: Solve for x
    x = 134,655,276,672.72/415,902.60
  6. Step 6: Final answer
    x = 323,766.37

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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.