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Finding the Fourth Proportional to 435,814.20, 653,721.30 and 199,618.20

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Solution

The fourth proportional to 435,814.20, 653,721.30 and 199,618.20 is: 299,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,814.20 : 653,721.30 = 199,618.20 : x
  2. Step 2: Convert to fraction form
    435,814.20/653,721.30 = 199,618.20/x
  3. Step 3: Cross multiply
    435,814.20x = 653,721.30 × 199,618.20
  4. Step 4: Simplify right side
    435,814.20x = 130,494,669,207.66
  5. Step 5: Solve for x
    x = 130,494,669,207.66/435,814.20
  6. Step 6: Final answer
    x = 299,427.30

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