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Finding the Fourth Proportional to 311,092.20, 466,638.30 and 285,287.40

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Solution

The fourth proportional to 311,092.20, 466,638.30 and 285,287.40 is: 427,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,092.20 : 466,638.30 = 285,287.40 : x
  2. Step 2: Convert to fraction form
    311,092.20/466,638.30 = 285,287.40/x
  3. Step 3: Cross multiply
    311,092.20x = 466,638.30 × 285,287.40
  4. Step 4: Simplify right side
    311,092.20x = 133,126,027,347.42
  5. Step 5: Solve for x
    x = 133,126,027,347.42/311,092.20
  6. Step 6: Final answer
    x = 427,931.10

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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.