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Finding the Fourth Proportional to 276,399.30, 413,934.54 and 157,710.80

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Solution

The fourth proportional to 276,399.30, 413,934.54 and 157,710.80 is: 236,187.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,399.30 : 413,934.54 = 157,710.80 : x
  2. Step 2: Convert to fraction form
    276,399.30/413,934.54 = 157,710.80/x
  3. Step 3: Cross multiply
    276,399.30x = 413,934.54 × 157,710.80
  4. Step 4: Simplify right side
    276,399.30x = 65,281,947,451.03
  5. Step 5: Solve for x
    x = 65,281,947,451.03/276,399.30
  6. Step 6: Final answer
    x = 236,187.09

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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.