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Finding the Fourth Proportional to 289,301.82, 433,205.01 and 199,621.14

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Solution

The fourth proportional to 289,301.82, 433,205.01 and 199,621.14 is: 298,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,301.82 : 433,205.01 = 199,621.14 : x
  2. Step 2: Convert to fraction form
    289,301.82/433,205.01 = 199,621.14/x
  3. Step 3: Cross multiply
    289,301.82x = 433,205.01 × 199,621.14
  4. Step 4: Simplify right side
    289,301.82x = 86,476,877,949.91
  5. Step 5: Solve for x
    x = 86,476,877,949.91/289,301.82
  6. Step 6: Final answer
    x = 298,915.78

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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.