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Finding the Fourth Proportional to 271,807.40, 407,711.10 and 227,848.70

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Solution

The fourth proportional to 271,807.40, 407,711.10 and 227,848.70 is: 341,773.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,807.40 : 407,711.10 = 227,848.70 : x
  2. Step 2: Convert to fraction form
    271,807.40/407,711.10 = 227,848.70/x
  3. Step 3: Cross multiply
    271,807.40x = 407,711.10 × 227,848.70
  4. Step 4: Simplify right side
    271,807.40x = 92,896,444,110.57
  5. Step 5: Solve for x
    x = 92,896,444,110.57/271,807.40
  6. Step 6: Final answer
    x = 341,773.05

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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.