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Finding the Fourth Proportional to 500,178.98, 690,182.61 and 285,306.23

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Solution

The fourth proportional to 500,178.98, 690,182.61 and 285,306.23 is: 393,685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,178.98 : 690,182.61 = 285,306.23 : x
  2. Step 2: Convert to fraction form
    500,178.98/690,182.61 = 285,306.23/x
  3. Step 3: Cross multiply
    500,178.98x = 690,182.61 × 285,306.23
  4. Step 4: Simplify right side
    500,178.98x = 196,913,398,470.66
  5. Step 5: Solve for x
    x = 196,913,398,470.66/500,178.98
  6. Step 6: Final answer
    x = 393,685.87

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