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Finding the Fourth Proportional to 416,230.67, 574,398.31 and 225,244.06

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Solution

The fourth proportional to 416,230.67, 574,398.31 and 225,244.06 is: 310,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.67 : 574,398.31 = 225,244.06 : x
  2. Step 2: Convert to fraction form
    416,230.67/574,398.31 = 225,244.06/x
  3. Step 3: Cross multiply
    416,230.67x = 574,398.31 × 225,244.06
  4. Step 4: Simplify right side
    416,230.67x = 129,379,807,401.54
  5. Step 5: Solve for x
    x = 129,379,807,401.54/416,230.67
  6. Step 6: Final answer
    x = 310,836.79

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1.5x scale

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.