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Finding the Fourth Proportional to 498,439.80, 747,659.70 and 232,719.30

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Solution

The fourth proportional to 498,439.80, 747,659.70 and 232,719.30 is: 349,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,439.80 : 747,659.70 = 232,719.30 : x
  2. Step 2: Convert to fraction form
    498,439.80/747,659.70 = 232,719.30/x
  3. Step 3: Cross multiply
    498,439.80x = 747,659.70 × 232,719.30
  4. Step 4: Simplify right side
    498,439.80x = 173,994,842,022.21
  5. Step 5: Solve for x
    x = 173,994,842,022.21/498,439.80
  6. Step 6: Final answer
    x = 349,078.95

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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.