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Finding the Fourth Proportional to 306,080.44, 458,857.71 and 106,374.88

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Solution

The fourth proportional to 306,080.44, 458,857.71 and 106,374.88 is: 159,470.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,080.44 : 458,857.71 = 106,374.88 : x
  2. Step 2: Convert to fraction form
    306,080.44/458,857.71 = 106,374.88/x
  3. Step 3: Cross multiply
    306,080.44x = 458,857.71 × 106,374.88
  4. Step 4: Simplify right side
    306,080.44x = 48,810,932,292.27
  5. Step 5: Solve for x
    x = 48,810,932,292.27/306,080.44
  6. Step 6: Final answer
    x = 159,470.93

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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.