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Finding the Fourth Proportional to 305,436.80, 458,198.40 and 95,052.80

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Solution

The fourth proportional to 305,436.80, 458,198.40 and 95,052.80 is: 142,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,436.80 : 458,198.40 = 95,052.80 : x
  2. Step 2: Convert to fraction form
    305,436.80/458,198.40 = 95,052.80/x
  3. Step 3: Cross multiply
    305,436.80x = 458,198.40 × 95,052.80
  4. Step 4: Simplify right side
    305,436.80x = 43,553,040,875.52
  5. Step 5: Solve for x
    x = 43,553,040,875.52/305,436.80
  6. Step 6: Final answer
    x = 142,592.64

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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.