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Finding the Fourth Proportional to 493,223.40, 739,835.10 and 333,791.10

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Solution

The fourth proportional to 493,223.40, 739,835.10 and 333,791.10 is: 500,686.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,223.40 : 739,835.10 = 333,791.10 : x
  2. Step 2: Convert to fraction form
    493,223.40/739,835.10 = 333,791.10/x
  3. Step 3: Cross multiply
    493,223.40x = 739,835.10 × 333,791.10
  4. Step 4: Simplify right side
    493,223.40x = 246,950,371,847.61
  5. Step 5: Solve for x
    x = 246,950,371,847.61/493,223.40
  6. Step 6: Final answer
    x = 500,686.65

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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.