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Finding the Fourth Proportional to 382,271.48, 527,548.18 and 210,202.54

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Solution

The fourth proportional to 382,271.48, 527,548.18 and 210,202.54 is: 290,086.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,271.48 : 527,548.18 = 210,202.54 : x
  2. Step 2: Convert to fraction form
    382,271.48/527,548.18 = 210,202.54/x
  3. Step 3: Cross multiply
    382,271.48x = 527,548.18 × 210,202.54
  4. Step 4: Simplify right side
    382,271.48x = 110,891,967,408.38
  5. Step 5: Solve for x
    x = 110,891,967,408.38/382,271.48
  6. Step 6: Final answer
    x = 290,086.95

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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.