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Finding the Fourth Proportional to 417,650.56, 626,449.92 and 180,828.16

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Solution

The fourth proportional to 417,650.56, 626,449.92 and 180,828.16 is: 271,231.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,650.56 : 626,449.92 = 180,828.16 : x
  2. Step 2: Convert to fraction form
    417,650.56/626,449.92 = 180,828.16/x
  3. Step 3: Cross multiply
    417,650.56x = 626,449.92 × 180,828.16
  4. Step 4: Simplify right side
    417,650.56x = 113,279,786,365.75
  5. Step 5: Solve for x
    x = 113,279,786,365.75/417,650.56
  6. Step 6: Final answer
    x = 271,231.02

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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.