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Finding the Fourth Proportional to 643,924.80, 966,016.80 and 539,467.20

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Solution

The fourth proportional to 643,924.80, 966,016.80 and 539,467.20 is: 809,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,924.80 : 966,016.80 = 539,467.20 : x
  2. Step 2: Convert to fraction form
    643,924.80/966,016.80 = 539,467.20/x
  3. Step 3: Cross multiply
    643,924.80x = 966,016.80 × 539,467.20
  4. Step 4: Simplify right side
    643,924.80x = 521,134,378,248.96
  5. Step 5: Solve for x
    x = 521,134,378,248.96/643,924.80
  6. Step 6: Final answer
    x = 809,309.38

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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.