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Finding the Fourth Proportional to 356,031.30, 491,307.43 and 194,893.14

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Solution

The fourth proportional to 356,031.30, 491,307.43 and 194,893.14 is: 268,943.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,031.30 : 491,307.43 = 194,893.14 : x
  2. Step 2: Convert to fraction form
    356,031.30/491,307.43 = 194,893.14/x
  3. Step 3: Cross multiply
    356,031.30x = 491,307.43 × 194,893.14
  4. Step 4: Simplify right side
    356,031.30x = 95,752,447,738.03
  5. Step 5: Solve for x
    x = 95,752,447,738.03/356,031.30
  6. Step 6: Final answer
    x = 268,943.90

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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.