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Finding the Fourth Proportional to 386,002.92, 532,685.28 and 213,923.70

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Solution

The fourth proportional to 386,002.92, 532,685.28 and 213,923.70 is: 295,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,002.92 : 532,685.28 = 213,923.70 : x
  2. Step 2: Convert to fraction form
    386,002.92/532,685.28 = 213,923.70/x
  3. Step 3: Cross multiply
    386,002.92x = 532,685.28 × 213,923.70
  4. Step 4: Simplify right side
    386,002.92x = 113,954,006,033.14
  5. Step 5: Solve for x
    x = 113,954,006,033.14/386,002.92
  6. Step 6: Final answer
    x = 295,215.40

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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.