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Finding the Fourth Proportional to 311,491.92, 465,531.22 and 227,429.30

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Solution

The fourth proportional to 311,491.92, 465,531.22 and 227,429.30 is: 339,897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,491.92 : 465,531.22 = 227,429.30 : x
  2. Step 2: Convert to fraction form
    311,491.92/465,531.22 = 227,429.30/x
  3. Step 3: Cross multiply
    311,491.92x = 465,531.22 × 227,429.30
  4. Step 4: Simplify right side
    311,491.92x = 105,875,439,492.75
  5. Step 5: Solve for x
    x = 105,875,439,492.75/311,491.92
  6. Step 6: Final answer
    x = 339,897.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.