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Finding the Fourth Proportional to 312,593.88, 468,327.06 and 192,441.72

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Solution

The fourth proportional to 312,593.88, 468,327.06 and 192,441.72 is: 288,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,593.88 : 468,327.06 = 192,441.72 : x
  2. Step 2: Convert to fraction form
    312,593.88/468,327.06 = 192,441.72/x
  3. Step 3: Cross multiply
    312,593.88x = 468,327.06 × 192,441.72
  4. Step 4: Simplify right side
    312,593.88x = 90,125,664,948.94
  5. Step 5: Solve for x
    x = 90,125,664,948.94/312,593.88
  6. Step 6: Final answer
    x = 288,315.51

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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.