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Finding the Fourth Proportional to 382,292.42, 527,575.02 and 210,201.49

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Solution

The fourth proportional to 382,292.42, 527,575.02 and 210,201.49 is: 290,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,292.42 : 527,575.02 = 210,201.49 : x
  2. Step 2: Convert to fraction form
    382,292.42/527,575.02 = 210,201.49/x
  3. Step 3: Cross multiply
    382,292.42x = 527,575.02 × 210,201.49
  4. Step 4: Simplify right side
    382,292.42x = 110,897,055,290.78
  5. Step 5: Solve for x
    x = 110,897,055,290.78/382,292.42
  6. Step 6: Final answer
    x = 290,084.37

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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.