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Finding the Fourth Proportional to 471,502.28, 707,259.90 and 134,542.82

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Solution

The fourth proportional to 471,502.28, 707,259.90 and 134,542.82 is: 201,816.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,502.28 : 707,259.90 = 134,542.82 : x
  2. Step 2: Convert to fraction form
    471,502.28/707,259.90 = 134,542.82/x
  3. Step 3: Cross multiply
    471,502.28x = 707,259.90 × 134,542.82
  4. Step 4: Simplify right side
    471,502.28x = 95,156,741,418.92
  5. Step 5: Solve for x
    x = 95,156,741,418.92/471,502.28
  6. Step 6: Final answer
    x = 201,816.08

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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.