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Finding the Fourth Proportional to 313,105.49, 432,085.73 and 169,865.49

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Solution

The fourth proportional to 313,105.49, 432,085.73 and 169,865.49 is: 234,414.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,105.49 : 432,085.73 = 169,865.49 : x
  2. Step 2: Convert to fraction form
    313,105.49/432,085.73 = 169,865.49/x
  3. Step 3: Cross multiply
    313,105.49x = 432,085.73 × 169,865.49
  4. Step 4: Simplify right side
    313,105.49x = 73,396,454,248.46
  5. Step 5: Solve for x
    x = 73,396,454,248.46/313,105.49
  6. Step 6: Final answer
    x = 234,414.46

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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.