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Finding the Fourth Proportional to 496,212.84, 684,752.85 and 281,367.36

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Solution

The fourth proportional to 496,212.84, 684,752.85 and 281,367.36 is: 388,275.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,212.84 : 684,752.85 = 281,367.36 : x
  2. Step 2: Convert to fraction form
    496,212.84/684,752.85 = 281,367.36/x
  3. Step 3: Cross multiply
    496,212.84x = 684,752.85 × 281,367.36
  4. Step 4: Simplify right side
    496,212.84x = 192,667,101,656.98
  5. Step 5: Solve for x
    x = 192,667,101,656.98/496,212.84
  6. Step 6: Final answer
    x = 388,275.12

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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.