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Finding the Fourth Proportional to 276,463.91, 414,844.85 and 116,650.59

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Solution

The fourth proportional to 276,463.91, 414,844.85 and 116,650.59 is: 175,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,463.91 : 414,844.85 = 116,650.59 : x
  2. Step 2: Convert to fraction form
    276,463.91/414,844.85 = 116,650.59/x
  3. Step 3: Cross multiply
    276,463.91x = 414,844.85 × 116,650.59
  4. Step 4: Simplify right side
    276,463.91x = 48,391,898,327.84
  5. Step 5: Solve for x
    x = 48,391,898,327.84/276,463.91
  6. Step 6: Final answer
    x = 175,038.75

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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.