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Finding the Fourth Proportional to 416,086.75, 574,220.37 and 254,950.75

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Solution

The fourth proportional to 416,086.75, 574,220.37 and 254,950.75 is: 351,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,086.75 : 574,220.37 = 254,950.75 : x
  2. Step 2: Convert to fraction form
    416,086.75/574,220.37 = 254,950.75/x
  3. Step 3: Cross multiply
    416,086.75x = 574,220.37 × 254,950.75
  4. Step 4: Simplify right side
    416,086.75x = 146,397,913,996.78
  5. Step 5: Solve for x
    x = 146,397,913,996.78/416,086.75
  6. Step 6: Final answer
    x = 351,844.69

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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.