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Finding the Fourth Proportional to 498,340.80, 747,511.20 and 182,756.70

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Solution

The fourth proportional to 498,340.80, 747,511.20 and 182,756.70 is: 274,135.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,340.80 : 747,511.20 = 182,756.70 : x
  2. Step 2: Convert to fraction form
    498,340.80/747,511.20 = 182,756.70/x
  3. Step 3: Cross multiply
    498,340.80x = 747,511.20 × 182,756.70
  4. Step 4: Simplify right side
    498,340.80x = 136,612,680,125.04
  5. Step 5: Solve for x
    x = 136,612,680,125.04/498,340.80
  6. Step 6: Final answer
    x = 274,135.05

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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.