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Finding the Fourth Proportional to 471,758.72, 707,747.40 and 134,803.76

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Solution

The fourth proportional to 471,758.72, 707,747.40 and 134,803.76 is: 202,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,758.72 : 707,747.40 = 134,803.76 : x
  2. Step 2: Convert to fraction form
    471,758.72/707,747.40 = 134,803.76/x
  3. Step 3: Cross multiply
    471,758.72x = 707,747.40 × 134,803.76
  4. Step 4: Simplify right side
    471,758.72x = 95,407,010,650.22
  5. Step 5: Solve for x
    x = 95,407,010,650.22/471,758.72
  6. Step 6: Final answer
    x = 202,236.88

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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.