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Finding the Fourth Proportional to 295,938, 408,410.80 and 168,589.20

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Solution

The fourth proportional to 295,938, 408,410.80 and 168,589.20 is: 232,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,938 : 408,410.80 = 168,589.20 : x
  2. Step 2: Convert to fraction form
    295,938/408,410.80 = 168,589.20/x
  3. Step 3: Cross multiply
    295,938x = 408,410.80 × 168,589.20
  4. Step 4: Simplify right side
    295,938x = 68,853,650,043.36
  5. Step 5: Solve for x
    x = 68,853,650,043.36/295,938
  6. Step 6: Final answer
    x = 232,662.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.