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Finding the Fourth Proportional to 513,024.60, 768,662.10 and 437,791.80

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Solution

The fourth proportional to 513,024.60, 768,662.10 and 437,791.80 is: 655,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,024.60 : 768,662.10 = 437,791.80 : x
  2. Step 2: Convert to fraction form
    513,024.60/768,662.10 = 437,791.80/x
  3. Step 3: Cross multiply
    513,024.60x = 768,662.10 × 437,791.80
  4. Step 4: Simplify right side
    513,024.60x = 336,513,964,350.78
  5. Step 5: Solve for x
    x = 336,513,964,350.78/513,024.60
  6. Step 6: Final answer
    x = 655,941.19

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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.