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Finding the Fourth Proportional to 305,591.80, 458,386.62 and 95,229.88

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Solution

The fourth proportional to 305,591.80, 458,386.62 and 95,229.88 is: 142,844.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,591.80 : 458,386.62 = 95,229.88 : x
  2. Step 2: Convert to fraction form
    305,591.80/458,386.62 = 95,229.88/x
  3. Step 3: Cross multiply
    305,591.80x = 458,386.62 × 95,229.88
  4. Step 4: Simplify right side
    305,591.80x = 43,652,102,816.21
  5. Step 5: Solve for x
    x = 43,652,102,816.21/305,591.80
  6. Step 6: Final answer
    x = 142,844.48

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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.