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Finding the Fourth Proportional to 471,757.72, 707,745.90 and 134,802.76

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Solution

The fourth proportional to 471,757.72, 707,745.90 and 134,802.76 is: 202,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,757.72 : 707,745.90 = 134,802.76 : x
  2. Step 2: Convert to fraction form
    471,757.72/707,745.90 = 134,802.76/x
  3. Step 3: Cross multiply
    471,757.72x = 707,745.90 × 134,802.76
  4. Step 4: Simplify right side
    471,757.72x = 95,406,100,698.68
  5. Step 5: Solve for x
    x = 95,406,100,698.68/471,757.72
  6. Step 6: Final answer
    x = 202,235.38

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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.