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Finding the Fourth Proportional to 471,254.28, 706,947.08 and 151,415.79

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Solution

The fourth proportional to 471,254.28, 706,947.08 and 151,415.79 is: 227,144.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,254.28 : 706,947.08 = 151,415.79 : x
  2. Step 2: Convert to fraction form
    471,254.28/706,947.08 = 151,415.79/x
  3. Step 3: Cross multiply
    471,254.28x = 706,947.08 × 151,415.79
  4. Step 4: Simplify right side
    471,254.28x = 107,042,949,849.31
  5. Step 5: Solve for x
    x = 107,042,949,849.31/471,254.28
  6. Step 6: Final answer
    x = 227,144.78

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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.