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Finding the Fourth Proportional to 497,816.40, 746,724.60 and 454,513.80

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Solution

The fourth proportional to 497,816.40, 746,724.60 and 454,513.80 is: 681,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,816.40 : 746,724.60 = 454,513.80 : x
  2. Step 2: Convert to fraction form
    497,816.40/746,724.60 = 454,513.80/x
  3. Step 3: Cross multiply
    497,816.40x = 746,724.60 × 454,513.80
  4. Step 4: Simplify right side
    497,816.40x = 339,396,635,499.48
  5. Step 5: Solve for x
    x = 339,396,635,499.48/497,816.40
  6. Step 6: Final answer
    x = 681,770.70

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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.