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Finding the Fourth Proportional to 382,902.20, 528,396.06 and 213,132.68

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Solution

The fourth proportional to 382,902.20, 528,396.06 and 213,132.68 is: 294,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,902.20 : 528,396.06 = 213,132.68 : x
  2. Step 2: Convert to fraction form
    382,902.20/528,396.06 = 213,132.68/x
  3. Step 3: Cross multiply
    382,902.20x = 528,396.06 × 213,132.68
  4. Step 4: Simplify right side
    382,902.20x = 112,618,468,369.24
  5. Step 5: Solve for x
    x = 112,618,468,369.24/382,902.20
  6. Step 6: Final answer
    x = 294,118.10

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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.