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Finding the Fourth Proportional to 408,863.92, 613,421.46 and 209,324.40

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Solution

The fourth proportional to 408,863.92, 613,421.46 and 209,324.40 is: 314,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,863.92 : 613,421.46 = 209,324.40 : x
  2. Step 2: Convert to fraction form
    408,863.92/613,421.46 = 209,324.40/x
  3. Step 3: Cross multiply
    408,863.92x = 613,421.46 × 209,324.40
  4. Step 4: Simplify right side
    408,863.92x = 128,404,079,061.62
  5. Step 5: Solve for x
    x = 128,404,079,061.62/408,863.92
  6. Step 6: Final answer
    x = 314,050.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.