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Finding the Fourth Proportional to 400,196.16, 552,202.08 and 239,115.84

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Solution

The fourth proportional to 400,196.16, 552,202.08 and 239,115.84 is: 329,938.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,196.16 : 552,202.08 = 239,115.84 : x
  2. Step 2: Convert to fraction form
    400,196.16/552,202.08 = 239,115.84/x
  3. Step 3: Cross multiply
    400,196.16x = 552,202.08 × 239,115.84
  4. Step 4: Simplify right side
    400,196.16x = 132,040,264,208.95
  5. Step 5: Solve for x
    x = 132,040,264,208.95/400,196.16
  6. Step 6: Final answer
    x = 329,938.86

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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.