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Finding the Fourth Proportional to 305,548.88, 458,335.73 and 145,542.56

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Solution

The fourth proportional to 305,548.88, 458,335.73 and 145,542.56 is: 218,319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,548.88 : 458,335.73 = 145,542.56 : x
  2. Step 2: Convert to fraction form
    305,548.88/458,335.73 = 145,542.56/x
  3. Step 3: Cross multiply
    305,548.88x = 458,335.73 × 145,542.56
  4. Step 4: Simplify right side
    305,548.88x = 66,707,353,555.85
  5. Step 5: Solve for x
    x = 66,707,353,555.85/305,548.88
  6. Step 6: Final answer
    x = 218,319.75

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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.