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Finding the Fourth Proportional to 353,519, 487,856.30 and 194,543

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Solution

The fourth proportional to 353,519, 487,856.30 and 194,543 is: 268,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,519 : 487,856.30 = 194,543 : x
  2. Step 2: Convert to fraction form
    353,519/487,856.30 = 194,543/x
  3. Step 3: Cross multiply
    353,519x = 487,856.30 × 194,543
  4. Step 4: Simplify right side
    353,519x = 94,909,028,170.90
  5. Step 5: Solve for x
    x = 94,909,028,170.90/353,519
  6. Step 6: Final answer
    x = 268,469.38

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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.