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Finding the Fourth Proportional to 268,433.65, 401,774.31 and 197,337.47

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Solution

The fourth proportional to 268,433.65, 401,774.31 and 197,337.47 is: 295,362.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,433.65 : 401,774.31 = 197,337.47 : x
  2. Step 2: Convert to fraction form
    268,433.65/401,774.31 = 197,337.47/x
  3. Step 3: Cross multiply
    268,433.65x = 401,774.31 × 197,337.47
  4. Step 4: Simplify right side
    268,433.65x = 79,285,125,542.49
  5. Step 5: Solve for x
    x = 79,285,125,542.49/268,433.65
  6. Step 6: Final answer
    x = 295,362.09

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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.