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Finding the Fourth Proportional to 500,382.32, 690,517.73 and 285,487.70

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Solution

The fourth proportional to 500,382.32, 690,517.73 and 285,487.70 is: 393,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,382.32 : 690,517.73 = 285,487.70 : x
  2. Step 2: Convert to fraction form
    500,382.32/690,517.73 = 285,487.70/x
  3. Step 3: Cross multiply
    500,382.32x = 690,517.73 × 285,487.70
  4. Step 4: Simplify right side
    500,382.32x = 197,134,317,119.48
  5. Step 5: Solve for x
    x = 197,134,317,119.48/500,382.32
  6. Step 6: Final answer
    x = 393,967.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.