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Finding the Fourth Proportional to 297,717, 410,849.46 and 163,581

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Solution

The fourth proportional to 297,717, 410,849.46 and 163,581 is: 225,741.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,717 : 410,849.46 = 163,581 : x
  2. Step 2: Convert to fraction form
    297,717/410,849.46 = 163,581/x
  3. Step 3: Cross multiply
    297,717x = 410,849.46 × 163,581
  4. Step 4: Simplify right side
    297,717x = 67,207,165,516.26
  5. Step 5: Solve for x
    x = 67,207,165,516.26/297,717
  6. Step 6: Final answer
    x = 225,741.78

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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.