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Finding the Fourth Proportional to 496,721.22, 745,192.94 and 181,178.13

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Solution

The fourth proportional to 496,721.22, 745,192.94 and 181,178.13 is: 271,807.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,721.22 : 745,192.94 = 181,178.13 : x
  2. Step 2: Convert to fraction form
    496,721.22/745,192.94 = 181,178.13/x
  3. Step 3: Cross multiply
    496,721.22x = 745,192.94 × 181,178.13
  4. Step 4: Simplify right side
    496,721.22x = 135,012,659,468.98
  5. Step 5: Solve for x
    x = 135,012,659,468.98/496,721.22
  6. Step 6: Final answer
    x = 271,807.71

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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.