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Finding the Fourth Proportional to 276,396.29, 413,930.04 and 157,707.80

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Solution

The fourth proportional to 276,396.29, 413,930.04 and 157,707.80 is: 236,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,396.29 : 413,930.04 = 157,707.80 : x
  2. Step 2: Convert to fraction form
    276,396.29/413,930.04 = 157,707.80/x
  3. Step 3: Cross multiply
    276,396.29x = 413,930.04 × 157,707.80
  4. Step 4: Simplify right side
    276,396.29x = 65,279,995,962.31
  5. Step 5: Solve for x
    x = 65,279,995,962.31/276,396.29
  6. Step 6: Final answer
    x = 236,182.61

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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.