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Finding the Fourth Proportional to 647,664.80, 971,497.20 and 398,832.80

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Solution

The fourth proportional to 647,664.80, 971,497.20 and 398,832.80 is: 598,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,664.80 : 971,497.20 = 398,832.80 : x
  2. Step 2: Convert to fraction form
    647,664.80/971,497.20 = 398,832.80/x
  3. Step 3: Cross multiply
    647,664.80x = 971,497.20 × 398,832.80
  4. Step 4: Simplify right side
    647,664.80x = 387,464,948,468.16
  5. Step 5: Solve for x
    x = 387,464,948,468.16/647,664.80
  6. Step 6: Final answer
    x = 598,249.20

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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.