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Finding the Fourth Proportional to 416,551.16, 574,839.76 and 225,563.96

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Solution

The fourth proportional to 416,551.16, 574,839.76 and 225,563.96 is: 311,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,551.16 : 574,839.76 = 225,563.96 : x
  2. Step 2: Convert to fraction form
    416,551.16/574,839.76 = 225,563.96/x
  3. Step 3: Cross multiply
    416,551.16x = 574,839.76 × 225,563.96
  4. Step 4: Simplify right side
    416,551.16x = 129,663,132,631.05
  5. Step 5: Solve for x
    x = 129,663,132,631.05/416,551.16
  6. Step 6: Final answer
    x = 311,277.81

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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.