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Finding the Fourth Proportional to 276,393.78, 413,926.30 and 157,705.30

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Solution

The fourth proportional to 276,393.78, 413,926.30 and 157,705.30 is: 236,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,393.78 : 413,926.30 = 157,705.30 : x
  2. Step 2: Convert to fraction form
    276,393.78/413,926.30 = 157,705.30/x
  3. Step 3: Cross multiply
    276,393.78x = 413,926.30 × 157,705.30
  4. Step 4: Simplify right side
    276,393.78x = 65,278,371,319.39
  5. Step 5: Solve for x
    x = 65,278,371,319.39/276,393.78
  6. Step 6: Final answer
    x = 236,178.87

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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.