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Finding the Fourth Proportional to 420,608.36, 580,472.66 and 239,327.92

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Solution

The fourth proportional to 420,608.36, 580,472.66 and 239,327.92 is: 330,291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,608.36 : 580,472.66 = 239,327.92 : x
  2. Step 2: Convert to fraction form
    420,608.36/580,472.66 = 239,327.92/x
  3. Step 3: Cross multiply
    420,608.36x = 580,472.66 × 239,327.92
  4. Step 4: Simplify right side
    420,608.36x = 138,923,314,334.67
  5. Step 5: Solve for x
    x = 138,923,314,334.67/420,608.36
  6. Step 6: Final answer
    x = 330,291.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.