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Finding the Fourth Proportional to 416,227.54, 574,332.21 and 252,799

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Solution

The fourth proportional to 416,227.54, 574,332.21 and 252,799 is: 348,825.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,227.54 : 574,332.21 = 252,799 : x
  2. Step 2: Convert to fraction form
    416,227.54/574,332.21 = 252,799/x
  3. Step 3: Cross multiply
    416,227.54x = 574,332.21 × 252,799
  4. Step 4: Simplify right side
    416,227.54x = 145,190,608,355.79
  5. Step 5: Solve for x
    x = 145,190,608,355.79/416,227.54
  6. Step 6: Final answer
    x = 348,825.09

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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.