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Finding the Fourth Proportional to 356,017.14, 491,304.38 and 194,882.48

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Solution

The fourth proportional to 356,017.14, 491,304.38 and 194,882.48 is: 268,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,017.14 : 491,304.38 = 194,882.48 : x
  2. Step 2: Convert to fraction form
    356,017.14/491,304.38 = 194,882.48/x
  3. Step 3: Cross multiply
    356,017.14x = 491,304.38 × 194,882.48
  4. Step 4: Simplify right side
    356,017.14x = 95,746,616,009.26
  5. Step 5: Solve for x
    x = 95,746,616,009.26/356,017.14
  6. Step 6: Final answer
    x = 268,938.22

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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.