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Finding the Fourth Proportional to 416,207.46, 574,367.81 and 225,220.85

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Solution

The fourth proportional to 416,207.46, 574,367.81 and 225,220.85 is: 310,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,207.46 : 574,367.81 = 225,220.85 : x
  2. Step 2: Convert to fraction form
    416,207.46/574,367.81 = 225,220.85/x
  3. Step 3: Cross multiply
    416,207.46x = 574,367.81 × 225,220.85
  4. Step 4: Simplify right side
    416,207.46x = 129,359,602,382.90
  5. Step 5: Solve for x
    x = 129,359,602,382.90/416,207.46
  6. Step 6: Final answer
    x = 310,805.58

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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.