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Finding the Fourth Proportional to 382,074.24, 527,251.68 and 212,304

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Solution

The fourth proportional to 382,074.24, 527,251.68 and 212,304 is: 292,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,074.24 : 527,251.68 = 212,304 : x
  2. Step 2: Convert to fraction form
    382,074.24/527,251.68 = 212,304/x
  3. Step 3: Cross multiply
    382,074.24x = 527,251.68 × 212,304
  4. Step 4: Simplify right side
    382,074.24x = 111,937,640,670.72
  5. Step 5: Solve for x
    x = 111,937,640,670.72/382,074.24
  6. Step 6: Final answer
    x = 292,973.53

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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.