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Finding the Fourth Proportional to 322,786.50, 484,257.51 and 101,170.50

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Solution

The fourth proportional to 322,786.50, 484,257.51 and 101,170.50 is: 151,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,786.50 : 484,257.51 = 101,170.50 : x
  2. Step 2: Convert to fraction form
    322,786.50/484,257.51 = 101,170.50/x
  3. Step 3: Cross multiply
    322,786.50x = 484,257.51 × 101,170.50
  4. Step 4: Simplify right side
    322,786.50x = 48,992,574,415.46
  5. Step 5: Solve for x
    x = 48,992,574,415.46/322,786.50
  6. Step 6: Final answer
    x = 151,780.12

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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.