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Finding the Fourth Proportional to 296,863.56, 409,627.98 and 180,517.68

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Solution

The fourth proportional to 296,863.56, 409,627.98 and 180,517.68 is: 249,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,863.56 : 409,627.98 = 180,517.68 : x
  2. Step 2: Convert to fraction form
    296,863.56/409,627.98 = 180,517.68/x
  3. Step 3: Cross multiply
    296,863.56x = 409,627.98 × 180,517.68
  4. Step 4: Simplify right side
    296,863.56x = 73,945,092,612.69
  5. Step 5: Solve for x
    x = 73,945,092,612.69/296,863.56
  6. Step 6: Final answer
    x = 249,087.81

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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.