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Finding the Fourth Proportional to 276,508.80, 414,584.64 and 151,816.32

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Solution

The fourth proportional to 276,508.80, 414,584.64 and 151,816.32 is: 227,626.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,508.80 : 414,584.64 = 151,816.32 : x
  2. Step 2: Convert to fraction form
    276,508.80/414,584.64 = 151,816.32/x
  3. Step 3: Cross multiply
    276,508.80x = 414,584.64 × 151,816.32
  4. Step 4: Simplify right side
    276,508.80x = 62,940,714,373.32
  5. Step 5: Solve for x
    x = 62,940,714,373.32/276,508.80
  6. Step 6: Final answer
    x = 227,626.44

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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.