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Finding the Fourth Proportional to 297,092.25, 409,987.98 and 169,767.54

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Solution

The fourth proportional to 297,092.25, 409,987.98 and 169,767.54 is: 234,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,092.25 : 409,987.98 = 169,767.54 : x
  2. Step 2: Convert to fraction form
    297,092.25/409,987.98 = 169,767.54/x
  3. Step 3: Cross multiply
    297,092.25x = 409,987.98 × 169,767.54
  4. Step 4: Simplify right side
    297,092.25x = 69,602,650,794.17
  5. Step 5: Solve for x
    x = 69,602,650,794.17/297,092.25
  6. Step 6: Final answer
    x = 234,279.59

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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.