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Finding the Fourth Proportional to 496,176.40, 744,034.20 and 215,549.20

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Solution

The fourth proportional to 496,176.40, 744,034.20 and 215,549.20 is: 323,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,176.40 : 744,034.20 = 215,549.20 : x
  2. Step 2: Convert to fraction form
    496,176.40/744,034.20 = 215,549.20/x
  3. Step 3: Cross multiply
    496,176.40x = 744,034.20 × 215,549.20
  4. Step 4: Simplify right side
    496,176.40x = 160,375,976,582.64
  5. Step 5: Solve for x
    x = 160,375,976,582.64/496,176.40
  6. Step 6: Final answer
    x = 323,223.71

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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.