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Finding the Fourth Proportional to 275,742.30, 413,613.45 and 247,748.70

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Solution

The fourth proportional to 275,742.30, 413,613.45 and 247,748.70 is: 371,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742.30 : 413,613.45 = 247,748.70 : x
  2. Step 2: Convert to fraction form
    275,742.30/413,613.45 = 247,748.70/x
  3. Step 3: Cross multiply
    275,742.30x = 413,613.45 × 247,748.70
  4. Step 4: Simplify right side
    275,742.30x = 102,472,194,540.02
  5. Step 5: Solve for x
    x = 102,472,194,540.02/275,742.30
  6. Step 6: Final answer
    x = 371,623.05

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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.