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Finding the Fourth Proportional to 643,722.80, 965,929.80 and 269,783.60

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Solution

The fourth proportional to 643,722.80, 965,929.80 and 269,783.60 is: 404,820.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,722.80 : 965,929.80 = 269,783.60 : x
  2. Step 2: Convert to fraction form
    643,722.80/965,929.80 = 269,783.60/x
  3. Step 3: Cross multiply
    643,722.80x = 965,929.80 × 269,783.60
  4. Step 4: Simplify right side
    643,722.80x = 260,592,018,791.28
  5. Step 5: Solve for x
    x = 260,592,018,791.28/643,722.80
  6. Step 6: Final answer
    x = 404,820.24

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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.