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Finding the Fourth Proportional to 643,724.80, 965,587.20 and 477,836.80

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Solution

The fourth proportional to 643,724.80, 965,587.20 and 477,836.80 is: 716,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,724.80 : 965,587.20 = 477,836.80 : x
  2. Step 2: Convert to fraction form
    643,724.80/965,587.20 = 477,836.80/x
  3. Step 3: Cross multiply
    643,724.80x = 965,587.20 × 477,836.80
  4. Step 4: Simplify right side
    643,724.80x = 461,393,097,768.96
  5. Step 5: Solve for x
    x = 461,393,097,768.96/643,724.80
  6. Step 6: Final answer
    x = 716,755.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.