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Finding the Fourth Proportional to 461,147.58, 687,137.16 and 410,841.12

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Solution

The fourth proportional to 461,147.58, 687,137.16 and 410,841.12 is: 612,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,147.58 : 687,137.16 = 410,841.12 : x
  2. Step 2: Convert to fraction form
    461,147.58/687,137.16 = 410,841.12/x
  3. Step 3: Cross multiply
    461,147.58x = 687,137.16 × 410,841.12
  4. Step 4: Simplify right side
    461,147.58x = 282,304,200,408.02
  5. Step 5: Solve for x
    x = 282,304,200,408.02/461,147.58
  6. Step 6: Final answer
    x = 612,177.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.