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Finding the Fourth Proportional to 543,191.38, 814,787.01 and 289,703.90

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Solution

The fourth proportional to 543,191.38, 814,787.01 and 289,703.90 is: 434,555.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,191.38 : 814,787.01 = 289,703.90 : x
  2. Step 2: Convert to fraction form
    543,191.38/814,787.01 = 289,703.90/x
  3. Step 3: Cross multiply
    543,191.38x = 814,787.01 × 289,703.90
  4. Step 4: Simplify right side
    543,191.38x = 236,046,976,503.31
  5. Step 5: Solve for x
    x = 236,046,976,503.31/543,191.38
  6. Step 6: Final answer
    x = 434,555.82

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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.