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Finding the Fourth Proportional to 416,754.33, 575,120.13 and 225,768.17

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Solution

The fourth proportional to 416,754.33, 575,120.13 and 225,768.17 is: 311,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,754.33 : 575,120.13 = 225,768.17 : x
  2. Step 2: Convert to fraction form
    416,754.33/575,120.13 = 225,768.17/x
  3. Step 3: Cross multiply
    416,754.33x = 575,120.13 × 225,768.17
  4. Step 4: Simplify right side
    416,754.33x = 129,843,819,871.43
  5. Step 5: Solve for x
    x = 129,843,819,871.43/416,754.33
  6. Step 6: Final answer
    x = 311,559.62

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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.