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Finding the Fourth Proportional to 276,494.46, 414,077.40 and 157,805.97

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Solution

The fourth proportional to 276,494.46, 414,077.40 and 157,805.97 is: 236,329.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,494.46 : 414,077.40 = 157,805.97 : x
  2. Step 2: Convert to fraction form
    276,494.46/414,077.40 = 157,805.97/x
  3. Step 3: Cross multiply
    276,494.46x = 414,077.40 × 157,805.97
  4. Step 4: Simplify right side
    276,494.46x = 65,343,885,762.08
  5. Step 5: Solve for x
    x = 65,343,885,762.08/276,494.46
  6. Step 6: Final answer
    x = 236,329.82

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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.