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Finding the Fourth Proportional to 522,753.21, 784,231.88 and 167,739.93

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Solution

The fourth proportional to 522,753.21, 784,231.88 and 167,739.93 is: 251,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,753.21 : 784,231.88 = 167,739.93 : x
  2. Step 2: Convert to fraction form
    522,753.21/784,231.88 = 167,739.93/x
  3. Step 3: Cross multiply
    522,753.21x = 784,231.88 × 167,739.93
  4. Step 4: Simplify right side
    522,753.21x = 131,546,999,816.27
  5. Step 5: Solve for x
    x = 131,546,999,816.27/522,753.21
  6. Step 6: Final answer
    x = 251,642.64

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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.