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Finding the Fourth Proportional to 431,421.60, 647,132.40 and 242,464.80

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Solution

The fourth proportional to 431,421.60, 647,132.40 and 242,464.80 is: 363,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,421.60 : 647,132.40 = 242,464.80 : x
  2. Step 2: Convert to fraction form
    431,421.60/647,132.40 = 242,464.80/x
  3. Step 3: Cross multiply
    431,421.60x = 647,132.40 × 242,464.80
  4. Step 4: Simplify right side
    431,421.60x = 156,906,827,939.52
  5. Step 5: Solve for x
    x = 156,906,827,939.52/431,421.60
  6. Step 6: Final answer
    x = 363,697.20

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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.