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Finding the Fourth Proportional to 643,914.59, 965,871.88 and 223,190.46

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Solution

The fourth proportional to 643,914.59, 965,871.88 and 223,190.46 is: 334,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,914.59 : 965,871.88 = 223,190.46 : x
  2. Step 2: Convert to fraction form
    643,914.59/965,871.88 = 223,190.46/x
  3. Step 3: Cross multiply
    643,914.59x = 965,871.88 × 223,190.46
  4. Step 4: Simplify right side
    643,914.59x = 215,573,388,640.29
  5. Step 5: Solve for x
    x = 215,573,388,640.29/643,914.59
  6. Step 6: Final answer
    x = 334,785.69

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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.