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Finding the Fourth Proportional to 496,723.52, 745,196.40 and 181,180.44

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Solution

The fourth proportional to 496,723.52, 745,196.40 and 181,180.44 is: 271,811.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,723.52 : 745,196.40 = 181,180.44 : x
  2. Step 2: Convert to fraction form
    496,723.52/745,196.40 = 181,180.44/x
  3. Step 3: Cross multiply
    496,723.52x = 745,196.40 × 181,180.44
  4. Step 4: Simplify right side
    496,723.52x = 135,015,011,638.42
  5. Step 5: Solve for x
    x = 135,015,011,638.42/496,723.52
  6. Step 6: Final answer
    x = 271,811.19

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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.