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Finding the Fourth Proportional to 431,773.60, 596,011.56 and 324,654.64

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Solution

The fourth proportional to 431,773.60, 596,011.56 and 324,654.64 is: 448,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,773.60 : 596,011.56 = 324,654.64 : x
  2. Step 2: Convert to fraction form
    431,773.60/596,011.56 = 324,654.64/x
  3. Step 3: Cross multiply
    431,773.60x = 596,011.56 × 324,654.64
  4. Step 4: Simplify right side
    431,773.60x = 193,497,918,447.64
  5. Step 5: Solve for x
    x = 193,497,918,447.64/431,773.60
  6. Step 6: Final answer
    x = 448,146.71

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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.