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Finding the Fourth Proportional to 467,787.56, 701,786.70 and 147,958.79

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Solution

The fourth proportional to 467,787.56, 701,786.70 and 147,958.79 is: 221,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,787.56 : 701,786.70 = 147,958.79 : x
  2. Step 2: Convert to fraction form
    467,787.56/701,786.70 = 147,958.79/x
  3. Step 3: Cross multiply
    467,787.56x = 701,786.70 × 147,958.79
  4. Step 4: Simplify right side
    467,787.56x = 103,835,510,970.09
  5. Step 5: Solve for x
    x = 103,835,510,970.09/467,787.56
  6. Step 6: Final answer
    x = 221,971.51

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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.