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Finding the Fourth Proportional to 408,854.44, 613,238.53 and 109,365.24

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Solution

The fourth proportional to 408,854.44, 613,238.53 and 109,365.24 is: 164,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,854.44 : 613,238.53 = 109,365.24 : x
  2. Step 2: Convert to fraction form
    408,854.44/613,238.53 = 109,365.24/x
  3. Step 3: Cross multiply
    408,854.44x = 613,238.53 × 109,365.24
  4. Step 4: Simplify right side
    408,854.44x = 67,066,979,010.70
  5. Step 5: Solve for x
    x = 67,066,979,010.70/408,854.44
  6. Step 6: Final answer
    x = 164,036.32

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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.