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Finding the Fourth Proportional to 522,814.40, 784,221.60 and 167,864.30

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Solution

The fourth proportional to 522,814.40, 784,221.60 and 167,864.30 is: 251,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,814.40 : 784,221.60 = 167,864.30 : x
  2. Step 2: Convert to fraction form
    522,814.40/784,221.60 = 167,864.30/x
  3. Step 3: Cross multiply
    522,814.40x = 784,221.60 × 167,864.30
  4. Step 4: Simplify right side
    522,814.40x = 131,642,809,928.88
  5. Step 5: Solve for x
    x = 131,642,809,928.88/522,814.40
  6. Step 6: Final answer
    x = 251,796.45

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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.