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Finding the Fourth Proportional to 496,731.88, 745,208.87 and 181,188.77

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Solution

The fourth proportional to 496,731.88, 745,208.87 and 181,188.77 is: 271,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,731.88 : 745,208.87 = 181,188.77 : x
  2. Step 2: Convert to fraction form
    496,731.88/745,208.87 = 181,188.77/x
  3. Step 3: Cross multiply
    496,731.88x = 745,208.87 × 181,188.77
  4. Step 4: Simplify right side
    496,731.88x = 135,023,479,001.36
  5. Step 5: Solve for x
    x = 135,023,479,001.36/496,731.88
  6. Step 6: Final answer
    x = 271,823.67

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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.