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Finding the Fourth Proportional to 471,357.56, 707,042.96 and 134,398.36

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Solution

The fourth proportional to 471,357.56, 707,042.96 and 134,398.36 is: 201,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,357.56 : 707,042.96 = 134,398.36 : x
  2. Step 2: Convert to fraction form
    471,357.56/707,042.96 = 134,398.36/x
  3. Step 3: Cross multiply
    471,357.56x = 707,042.96 × 134,398.36
  4. Step 4: Simplify right side
    471,357.56x = 95,025,414,273.55
  5. Step 5: Solve for x
    x = 95,025,414,273.55/471,357.56
  6. Step 6: Final answer
    x = 201,599.43

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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.