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Finding the Fourth Proportional to 416,229.86, 574,397.19 and 225,243.25

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Solution

The fourth proportional to 416,229.86, 574,397.19 and 225,243.25 is: 310,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,229.86 : 574,397.19 = 225,243.25 : x
  2. Step 2: Convert to fraction form
    416,229.86/574,397.19 = 225,243.25/x
  3. Step 3: Cross multiply
    416,229.86x = 574,397.19 × 225,243.25
  4. Step 4: Simplify right side
    416,229.86x = 129,379,088,430.48
  5. Step 5: Solve for x
    x = 129,379,088,430.48/416,229.86
  6. Step 6: Final answer
    x = 310,835.68

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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.