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Finding the Fourth Proportional to 643,936.80, 965,905.20 and 407,546.40

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Solution

The fourth proportional to 643,936.80, 965,905.20 and 407,546.40 is: 611,319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,936.80 : 965,905.20 = 407,546.40 : x
  2. Step 2: Convert to fraction form
    643,936.80/965,905.20 = 407,546.40/x
  3. Step 3: Cross multiply
    643,936.80x = 965,905.20 × 407,546.40
  4. Step 4: Simplify right side
    643,936.80x = 393,651,187,001.28
  5. Step 5: Solve for x
    x = 393,651,187,001.28/643,936.80
  6. Step 6: Final answer
    x = 611,319.60

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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.