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Finding the Fourth Proportional to 271,807.40, 407,711.10 and 200,948.60

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Solution

The fourth proportional to 271,807.40, 407,711.10 and 200,948.60 is: 301,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.40 : 407,711.10 = 200,948.60 : x
  2. Step 2: Convert to fraction form
    271,807.40/407,711.10 = 200,948.60/x
  3. Step 3: Cross multiply
    271,807.40x = 407,711.10 × 200,948.60
  4. Step 4: Simplify right side
    271,807.40x = 81,928,974,749.46
  5. Step 5: Solve for x
    x = 81,928,974,749.46/271,807.40
  6. Step 6: Final answer
    x = 301,422.90

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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.