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Finding the Fourth Proportional to 496,317.21, 684,732.20 and 292,243.38

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Solution

The fourth proportional to 496,317.21, 684,732.20 and 292,243.38 is: 403,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,317.21 : 684,732.20 = 292,243.38 : x
  2. Step 2: Convert to fraction form
    496,317.21/684,732.20 = 292,243.38/x
  3. Step 3: Cross multiply
    496,317.21x = 684,732.20 × 292,243.38
  4. Step 4: Simplify right side
    496,317.21x = 200,108,451,061.62
  5. Step 5: Solve for x
    x = 200,108,451,061.62/496,317.21
  6. Step 6: Final answer
    x = 403,186.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.