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Finding the Fourth Proportional to 416,152.86, 574,229.36 and 252,724.38

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Solution

The fourth proportional to 416,152.86, 574,229.36 and 252,724.38 is: 348,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,152.86 : 574,229.36 = 252,724.38 : x
  2. Step 2: Convert to fraction form
    416,152.86/574,229.36 = 252,724.38/x
  3. Step 3: Cross multiply
    416,152.86x = 574,229.36 × 252,724.38
  4. Step 4: Simplify right side
    416,152.86x = 145,121,757,462.25
  5. Step 5: Solve for x
    x = 145,121,757,462.25/416,152.86
  6. Step 6: Final answer
    x = 348,722.24

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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.