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Finding the Fourth Proportional to 271,947.28, 407,329.40 and 131,410

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Solution

The fourth proportional to 271,947.28, 407,329.40 and 131,410 is: 196,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,947.28 : 407,329.40 = 131,410 : x
  2. Step 2: Convert to fraction form
    271,947.28/407,329.40 = 131,410/x
  3. Step 3: Cross multiply
    271,947.28x = 407,329.40 × 131,410
  4. Step 4: Simplify right side
    271,947.28x = 53,527,156,454
  5. Step 5: Solve for x
    x = 53,527,156,454/271,947.28
  6. Step 6: Final answer
    x = 196,829.17

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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.