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Finding the Fourth Proportional to 522,780.25, 784,203.17 and 167,786.41

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Solution

The fourth proportional to 522,780.25, 784,203.17 and 167,786.41 is: 251,690.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,780.25 : 784,203.17 = 167,786.41 : x
  2. Step 2: Convert to fraction form
    522,780.25/784,203.17 = 167,786.41/x
  3. Step 3: Cross multiply
    522,780.25x = 784,203.17 × 167,786.41
  4. Step 4: Simplify right side
    522,780.25x = 131,578,634,604.92
  5. Step 5: Solve for x
    x = 131,578,634,604.92/522,780.25
  6. Step 6: Final answer
    x = 251,690.14

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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.