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Finding the Fourth Proportional to 408,705.27, 613,050.81 and 183,906.64

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Solution

The fourth proportional to 408,705.27, 613,050.81 and 183,906.64 is: 275,856.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,705.27 : 613,050.81 = 183,906.64 : x
  2. Step 2: Convert to fraction form
    408,705.27/613,050.81 = 183,906.64/x
  3. Step 3: Cross multiply
    408,705.27x = 613,050.81 × 183,906.64
  4. Step 4: Simplify right side
    408,705.27x = 112,744,114,616.38
  5. Step 5: Solve for x
    x = 112,744,114,616.38/408,705.27
  6. Step 6: Final answer
    x = 275,856.77

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Why These Related Problems?

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