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Finding the Fourth Proportional to 297,353.86, 410,348.72 and 161,387.81

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Solution

The fourth proportional to 297,353.86, 410,348.72 and 161,387.81 is: 222,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,353.86 : 410,348.72 = 161,387.81 : x
  2. Step 2: Convert to fraction form
    297,353.86/410,348.72 = 161,387.81/x
  3. Step 3: Cross multiply
    297,353.86x = 410,348.72 × 161,387.81
  4. Step 4: Simplify right side
    297,353.86x = 66,225,278,398.42
  5. Step 5: Solve for x
    x = 66,225,278,398.42/297,353.86
  6. Step 6: Final answer
    x = 222,715.38

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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.