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Finding the Fourth Proportional to 398,166.20, 597,249.30 and 188,214.20

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Solution

The fourth proportional to 398,166.20, 597,249.30 and 188,214.20 is: 282,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,166.20 : 597,249.30 = 188,214.20 : x
  2. Step 2: Convert to fraction form
    398,166.20/597,249.30 = 188,214.20/x
  3. Step 3: Cross multiply
    398,166.20x = 597,249.30 × 188,214.20
  4. Step 4: Simplify right side
    398,166.20x = 112,410,799,200.06
  5. Step 5: Solve for x
    x = 112,410,799,200.06/398,166.20
  6. Step 6: Final answer
    x = 282,321.30

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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.