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Finding the Fourth Proportional to 497,720.80, 746,581.20 and 454,175.20

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Solution

The fourth proportional to 497,720.80, 746,581.20 and 454,175.20 is: 681,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,720.80 : 746,581.20 = 454,175.20 : x
  2. Step 2: Convert to fraction form
    497,720.80/746,581.20 = 454,175.20/x
  3. Step 3: Cross multiply
    497,720.80x = 746,581.20 × 454,175.20
  4. Step 4: Simplify right side
    497,720.80x = 339,078,665,826.24
  5. Step 5: Solve for x
    x = 339,078,665,826.24/497,720.80
  6. Step 6: Final answer
    x = 681,262.80

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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.