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Finding the Fourth Proportional to 500,175.81, 690,308.33 and 285,266.61

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Solution

The fourth proportional to 500,175.81, 690,308.33 and 285,266.61 is: 393,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,175.81 : 690,308.33 = 285,266.61 : x
  2. Step 2: Convert to fraction form
    500,175.81/690,308.33 = 285,266.61/x
  3. Step 3: Cross multiply
    500,175.81x = 690,308.33 × 285,266.61
  4. Step 4: Simplify right side
    500,175.81x = 196,921,915,727.53
  5. Step 5: Solve for x
    x = 196,921,915,727.53/500,175.81
  6. Step 6: Final answer
    x = 393,705.40

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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.