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Finding the Fourth Proportional to 497,577.60, 746,463.60 and 198,007.20

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Solution

The fourth proportional to 497,577.60, 746,463.60 and 198,007.20 is: 297,049.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,577.60 : 746,463.60 = 198,007.20 : x
  2. Step 2: Convert to fraction form
    497,577.60/746,463.60 = 198,007.20/x
  3. Step 3: Cross multiply
    497,577.60x = 746,463.60 × 198,007.20
  4. Step 4: Simplify right side
    497,577.60x = 147,805,167,337.92
  5. Step 5: Solve for x
    x = 147,805,167,337.92/497,577.60
  6. Step 6: Final answer
    x = 297,049.48

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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.