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Finding the Fourth Proportional to 488,498.60, 732,747.90 and 409,766.60

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Solution

The fourth proportional to 488,498.60, 732,747.90 and 409,766.60 is: 614,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,498.60 : 732,747.90 = 409,766.60 : x
  2. Step 2: Convert to fraction form
    488,498.60/732,747.90 = 409,766.60/x
  3. Step 3: Cross multiply
    488,498.60x = 732,747.90 × 409,766.60
  4. Step 4: Simplify right side
    488,498.60x = 300,255,615,640.14
  5. Step 5: Solve for x
    x = 300,255,615,640.14/488,498.60
  6. Step 6: Final answer
    x = 614,649.90

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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.