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Finding the Fourth Proportional to 297,398.70, 410,410.44 and 161,432.55

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Solution

The fourth proportional to 297,398.70, 410,410.44 and 161,432.55 is: 222,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,398.70 : 410,410.44 = 161,432.55 : x
  2. Step 2: Convert to fraction form
    297,398.70/410,410.44 = 161,432.55/x
  3. Step 3: Cross multiply
    297,398.70x = 410,410.44 × 161,432.55
  4. Step 4: Simplify right side
    297,398.70x = 66,253,603,875.82
  5. Step 5: Solve for x
    x = 66,253,603,875.82/297,398.70
  6. Step 6: Final answer
    x = 222,777.05

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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.