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Finding the Fourth Proportional to 297,428.52, 410,454.54 and 161,463.72

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Solution

The fourth proportional to 297,428.52, 410,454.54 and 161,463.72 is: 222,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,428.52 : 410,454.54 = 161,463.72 : x
  2. Step 2: Convert to fraction form
    297,428.52/410,454.54 = 161,463.72/x
  3. Step 3: Cross multiply
    297,428.52x = 410,454.54 × 161,463.72
  4. Step 4: Simplify right side
    297,428.52x = 66,273,516,919.29
  5. Step 5: Solve for x
    x = 66,273,516,919.29/297,428.52
  6. Step 6: Final answer
    x = 222,821.66

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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.