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Finding the Fourth Proportional to 497,561.80, 746,342.70 and 123,584.80

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Solution

The fourth proportional to 497,561.80, 746,342.70 and 123,584.80 is: 185,377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,561.80 : 746,342.70 = 123,584.80 : x
  2. Step 2: Convert to fraction form
    497,561.80/746,342.70 = 123,584.80/x
  3. Step 3: Cross multiply
    497,561.80x = 746,342.70 × 123,584.80
  4. Step 4: Simplify right side
    497,561.80x = 92,236,613,310.96
  5. Step 5: Solve for x
    x = 92,236,613,310.96/497,561.80
  6. Step 6: Final answer
    x = 185,377.20

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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.