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Finding the Fourth Proportional to 656,128.80, 984,193.20 and 419,738.40

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Solution

The fourth proportional to 656,128.80, 984,193.20 and 419,738.40 is: 629,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,128.80 : 984,193.20 = 419,738.40 : x
  2. Step 2: Convert to fraction form
    656,128.80/984,193.20 = 419,738.40/x
  3. Step 3: Cross multiply
    656,128.80x = 984,193.20 × 419,738.40
  4. Step 4: Simplify right side
    656,128.80x = 413,103,679,058.88
  5. Step 5: Solve for x
    x = 413,103,679,058.88/656,128.80
  6. Step 6: Final answer
    x = 629,607.60

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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.