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Finding the Fourth Proportional to 459,384.60, 687,132.90 and 412,339.80

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Solution

The fourth proportional to 459,384.60, 687,132.90 and 412,339.80 is: 616,764.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,384.60 : 687,132.90 = 412,339.80 : x
  2. Step 2: Convert to fraction form
    459,384.60/687,132.90 = 412,339.80/x
  3. Step 3: Cross multiply
    459,384.60x = 687,132.90 × 412,339.80
  4. Step 4: Simplify right side
    459,384.60x = 283,332,242,559.42
  5. Step 5: Solve for x
    x = 283,332,242,559.42/459,384.60
  6. Step 6: Final answer
    x = 616,764.78

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