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Finding the Fourth Proportional to 314,229.59, 471,578.22 and 154,391.33

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Solution

The fourth proportional to 314,229.59, 471,578.22 and 154,391.33 is: 231,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,229.59 : 471,578.22 = 154,391.33 : x
  2. Step 2: Convert to fraction form
    314,229.59/471,578.22 = 154,391.33/x
  3. Step 3: Cross multiply
    314,229.59x = 471,578.22 × 154,391.33
  4. Step 4: Simplify right side
    314,229.59x = 72,807,586,226.94
  5. Step 5: Solve for x
    x = 72,807,586,226.94/314,229.59
  6. Step 6: Final answer
    x = 231,701.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.