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Finding the Fourth Proportional to 259,443.76, 388,976.10 and 174,993.88

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Solution

The fourth proportional to 259,443.76, 388,976.10 and 174,993.88 is: 262,362.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,443.76 : 388,976.10 = 174,993.88 : x
  2. Step 2: Convert to fraction form
    259,443.76/388,976.10 = 174,993.88/x
  3. Step 3: Cross multiply
    259,443.76x = 388,976.10 × 174,993.88
  4. Step 4: Simplify right side
    259,443.76x = 68,068,436,966.27
  5. Step 5: Solve for x
    x = 68,068,436,966.27/259,443.76
  6. Step 6: Final answer
    x = 262,362.98

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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.