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Finding the Fourth Proportional to 262,519.76, 393,693.24 and 144,324.56

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Solution

The fourth proportional to 262,519.76, 393,693.24 and 144,324.56 is: 216,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,519.76 : 393,693.24 = 144,324.56 : x
  2. Step 2: Convert to fraction form
    262,519.76/393,693.24 = 144,324.56/x
  3. Step 3: Cross multiply
    262,519.76x = 393,693.24 × 144,324.56
  4. Step 4: Simplify right side
    262,519.76x = 56,819,603,637.97
  5. Step 5: Solve for x
    x = 56,819,603,637.97/262,519.76
  6. Step 6: Final answer
    x = 216,439.34

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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.