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Finding the Fourth Proportional to 416,552.76, 574,845.54 and 225,566.16

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Solution

The fourth proportional to 416,552.76, 574,845.54 and 225,566.16 is: 311,282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,552.76 : 574,845.54 = 225,566.16 : x
  2. Step 2: Convert to fraction form
    416,552.76/574,845.54 = 225,566.16/x
  3. Step 3: Cross multiply
    416,552.76x = 574,845.54 × 225,566.16
  4. Step 4: Simplify right side
    416,552.76x = 129,665,701,050.93
  5. Step 5: Solve for x
    x = 129,665,701,050.93/416,552.76
  6. Step 6: Final answer
    x = 311,282.78

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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.