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Finding the Fourth Proportional to 522,767.21, 784,232.82 and 223,249.37

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Solution

The fourth proportional to 522,767.21, 784,232.82 and 223,249.37 is: 334,909.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,767.21 : 784,232.82 = 223,249.37 : x
  2. Step 2: Convert to fraction form
    522,767.21/784,232.82 = 223,249.37/x
  3. Step 3: Cross multiply
    522,767.21x = 784,232.82 × 223,249.37
  4. Step 4: Simplify right side
    522,767.21x = 175,079,479,077.16
  5. Step 5: Solve for x
    x = 175,079,479,077.16/522,767.21
  6. Step 6: Final answer
    x = 334,909.07

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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.