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Finding the Fourth Proportional to 647,116.20, 970,674.30 and 332,188.20

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Solution

The fourth proportional to 647,116.20, 970,674.30 and 332,188.20 is: 498,282.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,116.20 : 970,674.30 = 332,188.20 : x
  2. Step 2: Convert to fraction form
    647,116.20/970,674.30 = 332,188.20/x
  3. Step 3: Cross multiply
    647,116.20x = 970,674.30 × 332,188.20
  4. Step 4: Simplify right side
    647,116.20x = 322,446,548,503.26
  5. Step 5: Solve for x
    x = 322,446,548,503.26/647,116.20
  6. Step 6: Final answer
    x = 498,282.30

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Half scale
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Double scale
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Similar ratio
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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.