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Finding the Fourth Proportional to 393,139, 542,532.18 and 214,291

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Solution

The fourth proportional to 393,139, 542,532.18 and 214,291 is: 295,721.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,139 : 542,532.18 = 214,291 : x
  2. Step 2: Convert to fraction form
    393,139/542,532.18 = 214,291/x
  3. Step 3: Cross multiply
    393,139x = 542,532.18 × 214,291
  4. Step 4: Simplify right side
    393,139x = 116,259,763,384.38
  5. Step 5: Solve for x
    x = 116,259,763,384.38/393,139
  6. Step 6: Final answer
    x = 295,721.78

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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.