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Finding the Fourth Proportional to 353,472, 487,791.36 and 194,496

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Solution

The fourth proportional to 353,472, 487,791.36 and 194,496 is: 268,404.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,472 : 487,791.36 = 194,496 : x
  2. Step 2: Convert to fraction form
    353,472/487,791.36 = 194,496/x
  3. Step 3: Cross multiply
    353,472x = 487,791.36 × 194,496
  4. Step 4: Simplify right side
    353,472x = 94,873,468,354.56
  5. Step 5: Solve for x
    x = 94,873,468,354.56/353,472
  6. Step 6: Final answer
    x = 268,404.48

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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.