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Finding the Fourth Proportional to 537,435.53, 806,126.73 and 200,449.92

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Solution

The fourth proportional to 537,435.53, 806,126.73 and 200,449.92 is: 300,664.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,435.53 : 806,126.73 = 200,449.92 : x
  2. Step 2: Convert to fraction form
    537,435.53/806,126.73 = 200,449.92/x
  3. Step 3: Cross multiply
    537,435.53x = 806,126.73 × 200,449.92
  4. Step 4: Simplify right side
    537,435.53x = 161,588,040,809.65
  5. Step 5: Solve for x
    x = 161,588,040,809.65/537,435.53
  6. Step 6: Final answer
    x = 300,664.98

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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.