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Finding the Fourth Proportional to 297,373.08, 410,363.82 and 161,404.12

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Solution

The fourth proportional to 297,373.08, 410,363.82 and 161,404.12 is: 222,731.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,373.08 : 410,363.82 = 161,404.12 : x
  2. Step 2: Convert to fraction form
    297,373.08/410,363.82 = 161,404.12/x
  3. Step 3: Cross multiply
    297,373.08x = 410,363.82 × 161,404.12
  4. Step 4: Simplify right side
    297,373.08x = 66,234,411,246.94
  5. Step 5: Solve for x
    x = 66,234,411,246.94/297,373.08
  6. Step 6: Final answer
    x = 222,731.70

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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.