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Finding the Fourth Proportional to 497,793.80, 746,689.26 and 123,816.80

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Solution

The fourth proportional to 497,793.80, 746,689.26 and 123,816.80 is: 185,724.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,793.80 : 746,689.26 = 123,816.80 : x
  2. Step 2: Convert to fraction form
    497,793.80/746,689.26 = 123,816.80/x
  3. Step 3: Cross multiply
    497,793.80x = 746,689.26 × 123,816.80
  4. Step 4: Simplify right side
    497,793.80x = 92,452,674,767.57
  5. Step 5: Solve for x
    x = 92,452,674,767.57/497,793.80
  6. Step 6: Final answer
    x = 185,724.84

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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.