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Finding the Fourth Proportional to 289,849.80, 434,774.70 and 199,648.20

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Solution

The fourth proportional to 289,849.80, 434,774.70 and 199,648.20 is: 299,472.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,849.80 : 434,774.70 = 199,648.20 : x
  2. Step 2: Convert to fraction form
    289,849.80/434,774.70 = 199,648.20/x
  3. Step 3: Cross multiply
    289,849.80x = 434,774.70 × 199,648.20
  4. Step 4: Simplify right side
    289,849.80x = 86,801,986,260.54
  5. Step 5: Solve for x
    x = 86,801,986,260.54/289,849.80
  6. Step 6: Final answer
    x = 299,472.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.