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Finding the Fourth Proportional to 417,710.97, 576,441.60 and 226,724.31

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Solution

The fourth proportional to 417,710.97, 576,441.60 and 226,724.31 is: 312,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,710.97 : 576,441.60 = 226,724.31 : x
  2. Step 2: Convert to fraction form
    417,710.97/576,441.60 = 226,724.31/x
  3. Step 3: Cross multiply
    417,710.97x = 576,441.60 × 226,724.31
  4. Step 4: Simplify right side
    417,710.97x = 130,693,324,015.30
  5. Step 5: Solve for x
    x = 130,693,324,015.30/417,710.97
  6. Step 6: Final answer
    x = 312,879.80

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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.