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Finding the Fourth Proportional to 299,414.10, 448,465.05 and 159,008.70

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Solution

The fourth proportional to 299,414.10, 448,465.05 and 159,008.70 is: 238,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,414.10 : 448,465.05 = 159,008.70 : x
  2. Step 2: Convert to fraction form
    299,414.10/448,465.05 = 159,008.70/x
  3. Step 3: Cross multiply
    299,414.10x = 448,465.05 × 159,008.70
  4. Step 4: Simplify right side
    299,414.10x = 71,309,844,595.94
  5. Step 5: Solve for x
    x = 71,309,844,595.94/299,414.10
  6. Step 6: Final answer
    x = 238,164.62

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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.