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Finding the Fourth Proportional to 271,947.40, 407,921.10 and 172,220.20

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Solution

The fourth proportional to 271,947.40, 407,921.10 and 172,220.20 is: 258,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,947.40 : 407,921.10 = 172,220.20 : x
  2. Step 2: Convert to fraction form
    271,947.40/407,921.10 = 172,220.20/x
  3. Step 3: Cross multiply
    271,947.40x = 407,921.10 × 172,220.20
  4. Step 4: Simplify right side
    271,947.40x = 70,252,253,426.22
  5. Step 5: Solve for x
    x = 70,252,253,426.22/271,947.40
  6. Step 6: Final answer
    x = 258,330.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.