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Finding the Fourth Proportional to 305,978.72, 458,954.05 and 106,314.73

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Solution

The fourth proportional to 305,978.72, 458,954.05 and 106,314.73 is: 159,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,978.72 : 458,954.05 = 106,314.73 : x
  2. Step 2: Convert to fraction form
    305,978.72/458,954.05 = 106,314.73/x
  3. Step 3: Cross multiply
    305,978.72x = 458,954.05 × 106,314.73
  4. Step 4: Simplify right side
    305,978.72x = 48,793,574,694.32
  5. Step 5: Solve for x
    x = 48,793,574,694.32/305,978.72
  6. Step 6: Final answer
    x = 159,467.22

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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.