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Finding the Fourth Proportional to 310,310.10, 465,902.55 and 192,212.10

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Solution

The fourth proportional to 310,310.10, 465,902.55 and 192,212.10 is: 288,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310.10 : 465,902.55 = 192,212.10 : x
  2. Step 2: Convert to fraction form
    310,310.10/465,902.55 = 192,212.10/x
  3. Step 3: Cross multiply
    310,310.10x = 465,902.55 × 192,212.10
  4. Step 4: Simplify right side
    310,310.10x = 89,552,107,530.86
  5. Step 5: Solve for x
    x = 89,552,107,530.86/310,310.10
  6. Step 6: Final answer
    x = 288,589.08

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