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Finding the Fourth Proportional to 299,132.10, 448,698.15 and 199,599.30

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Solution

The fourth proportional to 299,132.10, 448,698.15 and 199,599.30 is: 299,398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,132.10 : 448,698.15 = 199,599.30 : x
  2. Step 2: Convert to fraction form
    299,132.10/448,698.15 = 199,599.30/x
  3. Step 3: Cross multiply
    299,132.10x = 448,698.15 × 199,599.30
  4. Step 4: Simplify right side
    299,132.10x = 89,559,836,651.30
  5. Step 5: Solve for x
    x = 89,559,836,651.30/299,132.10
  6. Step 6: Final answer
    x = 299,398.95

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1.5x scale

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.