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Finding the Fourth Proportional to 496,337, 684,945.38 and 281,408.36

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Solution

The fourth proportional to 496,337, 684,945.38 and 281,408.36 is: 388,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,337 : 684,945.38 = 281,408.36 : x
  2. Step 2: Convert to fraction form
    496,337/684,945.38 = 281,408.36/x
  3. Step 3: Cross multiply
    496,337x = 684,945.38 × 281,408.36
  4. Step 4: Simplify right side
    496,337x = 192,749,356,075.38
  5. Step 5: Solve for x
    x = 192,749,356,075.38/496,337
  6. Step 6: Final answer
    x = 388,343.72

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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.