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Finding the Fourth Proportional to 341,465.40, 512,198.10 and 192,166.20

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Solution

The fourth proportional to 341,465.40, 512,198.10 and 192,166.20 is: 288,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,465.40 : 512,198.10 = 192,166.20 : x
  2. Step 2: Convert to fraction form
    341,465.40/512,198.10 = 192,166.20/x
  3. Step 3: Cross multiply
    341,465.40x = 512,198.10 × 192,166.20
  4. Step 4: Simplify right side
    341,465.40x = 98,427,162,524.22
  5. Step 5: Solve for x
    x = 98,427,162,524.22/341,465.40
  6. Step 6: Final answer
    x = 288,249.30

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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.