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Finding the Fourth Proportional to 276,342.64, 414,704.31 and 96,429.08

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Solution

The fourth proportional to 276,342.64, 414,704.31 and 96,429.08 is: 144,710.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,342.64 : 414,704.31 = 96,429.08 : x
  2. Step 2: Convert to fraction form
    276,342.64/414,704.31 = 96,429.08/x
  3. Step 3: Cross multiply
    276,342.64x = 414,704.31 × 96,429.08
  4. Step 4: Simplify right side
    276,342.64x = 39,989,555,760.49
  5. Step 5: Solve for x
    x = 39,989,555,760.49/276,342.64
  6. Step 6: Final answer
    x = 144,710.05

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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.