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Finding the Fourth Proportional to 297,046.47, 409,945.80 and 169,719.33

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Solution

The fourth proportional to 297,046.47, 409,945.80 and 169,719.33 is: 234,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,046.47 : 409,945.80 = 169,719.33 : x
  2. Step 2: Convert to fraction form
    297,046.47/409,945.80 = 169,719.33/x
  3. Step 3: Cross multiply
    297,046.47x = 409,945.80 × 169,719.33
  4. Step 4: Simplify right side
    297,046.47x = 69,575,726,512.31
  5. Step 5: Solve for x
    x = 69,575,726,512.31/297,046.47
  6. Step 6: Final answer
    x = 234,225.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.