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Finding the Fourth Proportional to 471,756.72, 707,744.40 and 134,801.76

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Solution

The fourth proportional to 471,756.72, 707,744.40 and 134,801.76 is: 202,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,756.72 : 707,744.40 = 134,801.76 : x
  2. Step 2: Convert to fraction form
    471,756.72/707,744.40 = 134,801.76/x
  3. Step 3: Cross multiply
    471,756.72x = 707,744.40 × 134,801.76
  4. Step 4: Simplify right side
    471,756.72x = 95,405,190,750.14
  5. Step 5: Solve for x
    x = 95,405,190,750.14/471,756.72
  6. Step 6: Final answer
    x = 202,233.88

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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.