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Finding the Fourth Proportional to 416,392.56, 574,619.04 and 225,401.76

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Solution

The fourth proportional to 416,392.56, 574,619.04 and 225,401.76 is: 311,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,392.56 : 574,619.04 = 225,401.76 : x
  2. Step 2: Convert to fraction form
    416,392.56/574,619.04 = 225,401.76/x
  3. Step 3: Cross multiply
    416,392.56x = 574,619.04 × 225,401.76
  4. Step 4: Simplify right side
    416,392.56x = 129,520,142,945.51
  5. Step 5: Solve for x
    x = 129,520,142,945.51/416,392.56
  6. Step 6: Final answer
    x = 311,052.97

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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.