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Finding the Fourth Proportional to 262,517.76, 393,690.24 and 144,322.56

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Solution

The fourth proportional to 262,517.76, 393,690.24 and 144,322.56 is: 216,436.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,517.76 : 393,690.24 = 144,322.56 : x
  2. Step 2: Convert to fraction form
    262,517.76/393,690.24 = 144,322.56/x
  3. Step 3: Cross multiply
    262,517.76x = 393,690.24 × 144,322.56
  4. Step 4: Simplify right side
    262,517.76x = 56,818,383,283.81
  5. Step 5: Solve for x
    x = 56,818,383,283.81/262,517.76
  6. Step 6: Final answer
    x = 216,436.34

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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.