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Finding the Fourth Proportional to 417,205.62, 575,744.22 and 226,219.50

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Solution

The fourth proportional to 417,205.62, 575,744.22 and 226,219.50 is: 312,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,205.62 : 575,744.22 = 226,219.50 : x
  2. Step 2: Convert to fraction form
    417,205.62/575,744.22 = 226,219.50/x
  3. Step 3: Cross multiply
    417,205.62x = 575,744.22 × 226,219.50
  4. Step 4: Simplify right side
    417,205.62x = 130,244,569,576.29
  5. Step 5: Solve for x
    x = 130,244,569,576.29/417,205.62
  6. Step 6: Final answer
    x = 312,183.16

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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.