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Finding the Fourth Proportional to 496,731, 745,207.56 and 181,187.90

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Solution

The fourth proportional to 496,731, 745,207.56 and 181,187.90 is: 271,822.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,731 : 745,207.56 = 181,187.90 : x
  2. Step 2: Convert to fraction form
    496,731/745,207.56 = 181,187.90/x
  3. Step 3: Cross multiply
    496,731x = 745,207.56 × 181,187.90
  4. Step 4: Simplify right side
    496,731x = 135,022,589,134.49
  5. Step 5: Solve for x
    x = 135,022,589,134.49/496,731
  6. Step 6: Final answer
    x = 271,822.35

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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.