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Finding the Fourth Proportional to 271,810.10, 407,715.15 and 254,314.10

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Solution

The fourth proportional to 271,810.10, 407,715.15 and 254,314.10 is: 381,471.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,810.10 : 407,715.15 = 254,314.10 : x
  2. Step 2: Convert to fraction form
    271,810.10/407,715.15 = 254,314.10/x
  3. Step 3: Cross multiply
    271,810.10x = 407,715.15 × 254,314.10
  4. Step 4: Simplify right side
    271,810.10x = 103,687,711,428.62
  5. Step 5: Solve for x
    x = 103,687,711,428.62/271,810.10
  6. Step 6: Final answer
    x = 381,471.15

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Why These Related Problems?

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