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Finding the Fourth Proportional to 471,529.62, 650,719.17 and 256,675.86

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Solution

The fourth proportional to 471,529.62, 650,719.17 and 256,675.86 is: 354,217.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,529.62 : 650,719.17 = 256,675.86 : x
  2. Step 2: Convert to fraction form
    471,529.62/650,719.17 = 256,675.86/x
  3. Step 3: Cross multiply
    471,529.62x = 650,719.17 × 256,675.86
  4. Step 4: Simplify right side
    471,529.62x = 167,023,902,578.24
  5. Step 5: Solve for x
    x = 167,023,902,578.24/471,529.62
  6. Step 6: Final answer
    x = 354,217.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.