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Finding the Fourth Proportional to 240,478.44, 360,717.32 and 96,449.24

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Solution

The fourth proportional to 240,478.44, 360,717.32 and 96,449.24 is: 144,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,478.44 : 360,717.32 = 96,449.24 : x
  2. Step 2: Convert to fraction form
    240,478.44/360,717.32 = 96,449.24/x
  3. Step 3: Cross multiply
    240,478.44x = 360,717.32 × 96,449.24
  4. Step 4: Simplify right side
    240,478.44x = 34,790,909,083.00
  5. Step 5: Solve for x
    x = 34,790,909,083.00/240,478.44
  6. Step 6: Final answer
    x = 144,673.71

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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.