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Finding the Fourth Proportional to 656,109.80, 984,164.70 and 419,719.40

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Solution

The fourth proportional to 656,109.80, 984,164.70 and 419,719.40 is: 629,579.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,109.80 : 984,164.70 = 419,719.40 : x
  2. Step 2: Convert to fraction form
    656,109.80/984,164.70 = 419,719.40/x
  3. Step 3: Cross multiply
    656,109.80x = 984,164.70 × 419,719.40
  4. Step 4: Simplify right side
    656,109.80x = 413,073,017,385.18
  5. Step 5: Solve for x
    x = 413,073,017,385.18/656,109.80
  6. Step 6: Final answer
    x = 629,579.10

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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.