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Finding the Fourth Proportional to 305,585.45, 458,542.20 and 128,110.40

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Solution

The fourth proportional to 305,585.45, 458,542.20 and 128,110.40 is: 192,234.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,585.45 : 458,542.20 = 128,110.40 : x
  2. Step 2: Convert to fraction form
    305,585.45/458,542.20 = 128,110.40/x
  3. Step 3: Cross multiply
    305,585.45x = 458,542.20 × 128,110.40
  4. Step 4: Simplify right side
    305,585.45x = 58,744,024,658.88
  5. Step 5: Solve for x
    x = 58,744,024,658.88/305,585.45
  6. Step 6: Final answer
    x = 192,234.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.