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Finding the Fourth Proportional to 617,912.90, 925,314.15 and 406,405.70

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Solution

The fourth proportional to 617,912.90, 925,314.15 and 406,405.70 is: 608,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,912.90 : 925,314.15 = 406,405.70 : x
  2. Step 2: Convert to fraction form
    617,912.90/925,314.15 = 406,405.70/x
  3. Step 3: Cross multiply
    617,912.90x = 925,314.15 × 406,405.70
  4. Step 4: Simplify right side
    617,912.90x = 376,052,944,850.66
  5. Step 5: Solve for x
    x = 376,052,944,850.66/617,912.90
  6. Step 6: Final answer
    x = 608,585.68

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Why These Related Problems?

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