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Finding the Fourth Proportional to 471,712.66, 707,575.11 and 134,764.30

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Solution

The fourth proportional to 471,712.66, 707,575.11 and 134,764.30 is: 202,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,712.66 : 707,575.11 = 134,764.30 : x
  2. Step 2: Convert to fraction form
    471,712.66/707,575.11 = 134,764.30/x
  3. Step 3: Cross multiply
    471,712.66x = 707,575.11 × 134,764.30
  4. Step 4: Simplify right side
    471,712.66x = 95,355,862,627.64
  5. Step 5: Solve for x
    x = 95,355,862,627.64/471,712.66
  6. Step 6: Final answer
    x = 202,148.20

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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.