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Finding the Fourth Proportional to 497,815.40, 746,723.10 and 409,241.90

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Solution

The fourth proportional to 497,815.40, 746,723.10 and 409,241.90 is: 613,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,815.40 : 746,723.10 = 409,241.90 : x
  2. Step 2: Convert to fraction form
    497,815.40/746,723.10 = 409,241.90/x
  3. Step 3: Cross multiply
    497,815.40x = 746,723.10 × 409,241.90
  4. Step 4: Simplify right side
    497,815.40x = 305,590,380,217.89
  5. Step 5: Solve for x
    x = 305,590,380,217.89/497,815.40
  6. Step 6: Final answer
    x = 613,862.85

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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.