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Finding the Fourth Proportional to 497,353.56, 746,104.40 and 177,480.50

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Solution

The fourth proportional to 497,353.56, 746,104.40 and 177,480.50 is: 266,247.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,353.56 : 746,104.40 = 177,480.50 : x
  2. Step 2: Convert to fraction form
    497,353.56/746,104.40 = 177,480.50/x
  3. Step 3: Cross multiply
    497,353.56x = 746,104.40 × 177,480.50
  4. Step 4: Simplify right side
    497,353.56x = 132,418,981,964.20
  5. Step 5: Solve for x
    x = 132,418,981,964.20/497,353.56
  6. Step 6: Final answer
    x = 266,247.18

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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.