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Finding the Fourth Proportional to 497,321.80, 745,982.70 and 123,344.80

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Solution

The fourth proportional to 497,321.80, 745,982.70 and 123,344.80 is: 185,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,321.80 : 745,982.70 = 123,344.80 : x
  2. Step 2: Convert to fraction form
    497,321.80/745,982.70 = 123,344.80/x
  3. Step 3: Cross multiply
    497,321.80x = 745,982.70 × 123,344.80
  4. Step 4: Simplify right side
    497,321.80x = 92,013,086,934.96
  5. Step 5: Solve for x
    x = 92,013,086,934.96/497,321.80
  6. Step 6: Final answer
    x = 185,017.20

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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.