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Finding the Fourth Proportional to 297,360.63, 410,358.06 and 161,394.57

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Solution

The fourth proportional to 297,360.63, 410,358.06 and 161,394.57 is: 222,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,360.63 : 410,358.06 = 161,394.57 : x
  2. Step 2: Convert to fraction form
    297,360.63/410,358.06 = 161,394.57/x
  3. Step 3: Cross multiply
    297,360.63x = 410,358.06 × 161,394.57
  4. Step 4: Simplify right side
    297,360.63x = 66,229,562,639.73
  5. Step 5: Solve for x
    x = 66,229,562,639.73/297,360.63
  6. Step 6: Final answer
    x = 222,724.72

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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.