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Finding the Fourth Proportional to 442,976.20, 664,464.30 and 442,976.20

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Solution

The fourth proportional to 442,976.20, 664,464.30 and 442,976.20 is: 664,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,976.20 : 664,464.30 = 442,976.20 : x
  2. Step 2: Convert to fraction form
    442,976.20/664,464.30 = 442,976.20/x
  3. Step 3: Cross multiply
    442,976.20x = 664,464.30 × 442,976.20
  4. Step 4: Simplify right side
    442,976.20x = 294,341,870,649.66
  5. Step 5: Solve for x
    x = 294,341,870,649.66/442,976.20
  6. Step 6: Final answer
    x = 664,464.30

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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.