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Finding the Fourth Proportional to 382,448.10, 527,791.34 and 210,378.86

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Solution

The fourth proportional to 382,448.10, 527,791.34 and 210,378.86 is: 290,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,448.10 : 527,791.34 = 210,378.86 : x
  2. Step 2: Convert to fraction form
    382,448.10/527,791.34 = 210,378.86/x
  3. Step 3: Cross multiply
    382,448.10x = 527,791.34 × 210,378.86
  4. Step 4: Simplify right side
    382,448.10x = 111,036,136,736.22
  5. Step 5: Solve for x
    x = 111,036,136,736.22/382,448.10
  6. Step 6: Final answer
    x = 290,329.95

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