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Finding the Fourth Proportional to 297,299.16, 410,285.25 and 169,974.65

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Solution

The fourth proportional to 297,299.16, 410,285.25 and 169,974.65 is: 234,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,299.16 : 410,285.25 = 169,974.65 : x
  2. Step 2: Convert to fraction form
    297,299.16/410,285.25 = 169,974.65/x
  3. Step 3: Cross multiply
    297,299.16x = 410,285.25 × 169,974.65
  4. Step 4: Simplify right side
    297,299.16x = 69,738,092,794.63
  5. Step 5: Solve for x
    x = 69,738,092,794.63/297,299.16
  6. Step 6: Final answer
    x = 234,572.12

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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.