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Finding the Fourth Proportional to 643,924.80, 965,109.60 and 328,219.20

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Solution

The fourth proportional to 643,924.80, 965,109.60 and 328,219.20 is: 491,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,924.80 : 965,109.60 = 328,219.20 : x
  2. Step 2: Convert to fraction form
    643,924.80/965,109.60 = 328,219.20/x
  3. Step 3: Cross multiply
    643,924.80x = 965,109.60 × 328,219.20
  4. Step 4: Simplify right side
    643,924.80x = 316,767,500,824.32
  5. Step 5: Solve for x
    x = 316,767,500,824.32/643,924.80
  6. Step 6: Final answer
    x = 491,932.44

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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.