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Finding the Fourth Proportional to 297,712.23, 410,847.54 and 161,748.87

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Solution

The fourth proportional to 297,712.23, 410,847.54 and 161,748.87 is: 223,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,712.23 : 410,847.54 = 161,748.87 : x
  2. Step 2: Convert to fraction form
    297,712.23/410,847.54 = 161,748.87/x
  3. Step 3: Cross multiply
    297,712.23x = 410,847.54 × 161,748.87
  4. Step 4: Simplify right side
    297,712.23x = 66,454,125,337.28
  5. Step 5: Solve for x
    x = 66,454,125,337.28/297,712.23
  6. Step 6: Final answer
    x = 223,215.97

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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.