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Finding the Fourth Proportional to 537,406.73, 806,089.24 and 200,446.75

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Solution

The fourth proportional to 537,406.73, 806,089.24 and 200,446.75 is: 300,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,406.73 : 806,089.24 = 200,446.75 : x
  2. Step 2: Convert to fraction form
    537,406.73/806,089.24 = 200,446.75/x
  3. Step 3: Cross multiply
    537,406.73x = 806,089.24 × 200,446.75
  4. Step 4: Simplify right side
    537,406.73x = 161,577,970,189.90
  5. Step 5: Solve for x
    x = 161,577,970,189.90/537,406.73
  6. Step 6: Final answer
    x = 300,662.35

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1.5x scale

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.