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Finding the Fourth Proportional to 498,023.60, 746,581.80 and 182,404.40

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Solution

The fourth proportional to 498,023.60, 746,581.80 and 182,404.40 is: 273,440.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,023.60 : 746,581.80 = 182,404.40 : x
  2. Step 2: Convert to fraction form
    498,023.60/746,581.80 = 182,404.40/x
  3. Step 3: Cross multiply
    498,023.60x = 746,581.80 × 182,404.40
  4. Step 4: Simplify right side
    498,023.60x = 136,179,805,279.92
  5. Step 5: Solve for x
    x = 136,179,805,279.92/498,023.60
  6. Step 6: Final answer
    x = 273,440.47

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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.