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Finding the Fourth Proportional to 416,943.56, 575,382.61 and 225,956.96

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Solution

The fourth proportional to 416,943.56, 575,382.61 and 225,956.96 is: 311,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,943.56 : 575,382.61 = 225,956.96 : x
  2. Step 2: Convert to fraction form
    416,943.56/575,382.61 = 225,956.96/x
  3. Step 3: Cross multiply
    416,943.56x = 575,382.61 × 225,956.96
  4. Step 4: Simplify right side
    416,943.56x = 130,011,705,392.47
  5. Step 5: Solve for x
    x = 130,011,705,392.47/416,943.56
  6. Step 6: Final answer
    x = 311,820.87

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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.