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Finding the Fourth Proportional to 537,801.96, 806,732.10 and 271,250.40

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Solution

The fourth proportional to 537,801.96, 806,732.10 and 271,250.40 is: 406,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,801.96 : 806,732.10 = 271,250.40 : x
  2. Step 2: Convert to fraction form
    537,801.96/806,732.10 = 271,250.40/x
  3. Step 3: Cross multiply
    537,801.96x = 806,732.10 × 271,250.40
  4. Step 4: Simplify right side
    537,801.96x = 218,826,404,817.84
  5. Step 5: Solve for x
    x = 218,826,404,817.84/537,801.96
  6. Step 6: Final answer
    x = 406,890.31

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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.