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Finding the Fourth Proportional to 471,705.14, 707,668.38 and 134,750.61

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Solution

The fourth proportional to 471,705.14, 707,668.38 and 134,750.61 is: 202,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,705.14 : 707,668.38 = 134,750.61 : x
  2. Step 2: Convert to fraction form
    471,705.14/707,668.38 = 134,750.61/x
  3. Step 3: Cross multiply
    471,705.14x = 707,668.38 × 134,750.61
  4. Step 4: Simplify right side
    471,705.14x = 95,358,745,882.71
  5. Step 5: Solve for x
    x = 95,358,745,882.71/471,705.14
  6. Step 6: Final answer
    x = 202,157.53

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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.