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Finding the Fourth Proportional to 295,895.78, 408,327.97 and 166,833.12

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Solution

The fourth proportional to 295,895.78, 408,327.97 and 166,833.12 is: 230,225.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,895.78 : 408,327.97 = 166,833.12 : x
  2. Step 2: Convert to fraction form
    295,895.78/408,327.97 = 166,833.12/x
  3. Step 3: Cross multiply
    295,895.78x = 408,327.97 × 166,833.12
  4. Step 4: Simplify right side
    295,895.78x = 68,122,628,384.20
  5. Step 5: Solve for x
    x = 68,122,628,384.20/295,895.78
  6. Step 6: Final answer
    x = 230,225.08

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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.