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Finding the Fourth Proportional to 496,731.75, 745,208.69 and 181,188.65

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Solution

The fourth proportional to 496,731.75, 745,208.69 and 181,188.65 is: 271,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,731.75 : 745,208.69 = 181,188.65 : x
  2. Step 2: Convert to fraction form
    496,731.75/745,208.69 = 181,188.65/x
  3. Step 3: Cross multiply
    496,731.75x = 745,208.69 × 181,188.65
  4. Step 4: Simplify right side
    496,731.75x = 135,023,351,877.38
  5. Step 5: Solve for x
    x = 135,023,351,877.38/496,731.75
  6. Step 6: Final answer
    x = 271,823.48

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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.