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Finding the Fourth Proportional to 488,512.60, 732,768.90 and 409,780.60

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Solution

The fourth proportional to 488,512.60, 732,768.90 and 409,780.60 is: 614,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,512.60 : 732,768.90 = 409,780.60 : x
  2. Step 2: Convert to fraction form
    488,512.60/732,768.90 = 409,780.60/x
  3. Step 3: Cross multiply
    488,512.60x = 732,768.90 × 409,780.60
  4. Step 4: Simplify right side
    488,512.60x = 300,274,479,503.34
  5. Step 5: Solve for x
    x = 300,274,479,503.34/488,512.60
  6. Step 6: Final answer
    x = 614,670.90

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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.