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Finding the Fourth Proportional to 416,099.75, 574,221.81 and 225,117.25

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Solution

The fourth proportional to 416,099.75, 574,221.81 and 225,117.25 is: 310,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,099.75 : 574,221.81 = 225,117.25 : x
  2. Step 2: Convert to fraction form
    416,099.75/574,221.81 = 225,117.25/x
  3. Step 3: Cross multiply
    416,099.75x = 574,221.81 × 225,117.25
  4. Step 4: Simplify right side
    416,099.75x = 129,267,234,757.22
  5. Step 5: Solve for x
    x = 129,267,234,757.22/416,099.75
  6. Step 6: Final answer
    x = 310,664.05

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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.