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Finding the Fourth Proportional to 305,548.50, 458,335.17 and 145,542.18

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Solution

The fourth proportional to 305,548.50, 458,335.17 and 145,542.18 is: 218,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,548.50 : 458,335.17 = 145,542.18 : x
  2. Step 2: Convert to fraction form
    305,548.50/458,335.17 = 145,542.18/x
  3. Step 3: Cross multiply
    305,548.50x = 458,335.17 × 145,542.18
  4. Step 4: Simplify right side
    305,548.50x = 66,707,099,812.47
  5. Step 5: Solve for x
    x = 66,707,099,812.47/305,548.50
  6. Step 6: Final answer
    x = 218,319.19

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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.