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Finding the Fourth Proportional to 643,815.80, 965,723.70 and 477,927.80

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Solution

The fourth proportional to 643,815.80, 965,723.70 and 477,927.80 is: 716,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,815.80 : 965,723.70 = 477,927.80 : x
  2. Step 2: Convert to fraction form
    643,815.80/965,723.70 = 477,927.80/x
  3. Step 3: Cross multiply
    643,815.80x = 965,723.70 × 477,927.80
  4. Step 4: Simplify right side
    643,815.80x = 461,546,203,348.86
  5. Step 5: Solve for x
    x = 461,546,203,348.86/643,815.80
  6. Step 6: Final answer
    x = 716,891.70

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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.