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Finding the Fourth Proportional to 498,194.40, 747,205.20 and 182,488.80

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Solution

The fourth proportional to 498,194.40, 747,205.20 and 182,488.80 is: 273,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,194.40 : 747,205.20 = 182,488.80 : x
  2. Step 2: Convert to fraction form
    498,194.40/747,205.20 = 182,488.80/x
  3. Step 3: Cross multiply
    498,194.40x = 747,205.20 × 182,488.80
  4. Step 4: Simplify right side
    498,194.40x = 136,356,580,301.76
  5. Step 5: Solve for x
    x = 136,356,580,301.76/498,194.40
  6. Step 6: Final answer
    x = 273,701.55

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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.