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Finding the Fourth Proportional to 416,230.48, 574,398.05 and 225,243.87

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Solution

The fourth proportional to 416,230.48, 574,398.05 and 225,243.87 is: 310,836.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230.48 : 574,398.05 = 225,243.87 : x
  2. Step 2: Convert to fraction form
    416,230.48/574,398.05 = 225,243.87/x
  3. Step 3: Cross multiply
    416,230.48x = 574,398.05 × 225,243.87
  4. Step 4: Simplify right side
    416,230.48x = 129,379,640,265.56
  5. Step 5: Solve for x
    x = 129,379,640,265.56/416,230.48
  6. Step 6: Final answer
    x = 310,836.54

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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.