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Finding the Fourth Proportional to 408,727.10, 613,106.04 and 184,044.44

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Solution

The fourth proportional to 408,727.10, 613,106.04 and 184,044.44 is: 276,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,727.10 : 613,106.04 = 184,044.44 : x
  2. Step 2: Convert to fraction form
    408,727.10/613,106.04 = 184,044.44/x
  3. Step 3: Cross multiply
    408,727.10x = 613,106.04 × 184,044.44
  4. Step 4: Simplify right side
    408,727.10x = 112,838,757,792.42
  5. Step 5: Solve for x
    x = 112,838,757,792.42/408,727.10
  6. Step 6: Final answer
    x = 276,073.59

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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.