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Finding the Fourth Proportional to 271,302.30, 406,947.05 and 74,310.30

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Solution

The fourth proportional to 271,302.30, 406,947.05 and 74,310.30 is: 111,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,302.30 : 406,947.05 = 74,310.30 : x
  2. Step 2: Convert to fraction form
    271,302.30/406,947.05 = 74,310.30/x
  3. Step 3: Cross multiply
    271,302.30x = 406,947.05 × 74,310.30
  4. Step 4: Simplify right side
    271,302.30x = 30,240,357,369.62
  5. Step 5: Solve for x
    x = 30,240,357,369.62/271,302.30
  6. Step 6: Final answer
    x = 111,463.70

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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.