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Finding the Fourth Proportional to 498,230.80, 747,346.20 and 182,646.70

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Solution

The fourth proportional to 498,230.80, 747,346.20 and 182,646.70 is: 273,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,230.80 : 747,346.20 = 182,646.70 : x
  2. Step 2: Convert to fraction form
    498,230.80/747,346.20 = 182,646.70/x
  3. Step 3: Cross multiply
    498,230.80x = 747,346.20 × 182,646.70
  4. Step 4: Simplify right side
    498,230.80x = 136,500,317,187.54
  5. Step 5: Solve for x
    x = 136,500,317,187.54/498,230.80
  6. Step 6: Final answer
    x = 273,970.05

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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.