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Finding the Fourth Proportional to 522,773.96, 784,263.05 and 167,760.68

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Solution

The fourth proportional to 522,773.96, 784,263.05 and 167,760.68 is: 251,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,773.96 : 784,263.05 = 167,760.68 : x
  2. Step 2: Convert to fraction form
    522,773.96/784,263.05 = 167,760.68/x
  3. Step 3: Cross multiply
    522,773.96x = 784,263.05 × 167,760.68
  4. Step 4: Simplify right side
    522,773.96x = 131,568,501,728.07
  5. Step 5: Solve for x
    x = 131,568,501,728.07/522,773.96
  6. Step 6: Final answer
    x = 251,673.79

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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.