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Finding the Fourth Proportional to 305,614.80, 458,551.80 and 193,381.20

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Solution

The fourth proportional to 305,614.80, 458,551.80 and 193,381.20 is: 290,153.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,614.80 : 458,551.80 = 193,381.20 : x
  2. Step 2: Convert to fraction form
    305,614.80/458,551.80 = 193,381.20/x
  3. Step 3: Cross multiply
    305,614.80x = 458,551.80 × 193,381.20
  4. Step 4: Simplify right side
    305,614.80x = 88,675,297,346.16
  5. Step 5: Solve for x
    x = 88,675,297,346.16/305,614.80
  6. Step 6: Final answer
    x = 290,153.81

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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.