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Finding the Fourth Proportional to 269,570.96, 404,041.92 and 202,796.24

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Solution

The fourth proportional to 269,570.96, 404,041.92 and 202,796.24 is: 303,957.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,570.96 : 404,041.92 = 202,796.24 : x
  2. Step 2: Convert to fraction form
    269,570.96/404,041.92 = 202,796.24/x
  3. Step 3: Cross multiply
    269,570.96x = 404,041.92 × 202,796.24
  4. Step 4: Simplify right side
    269,570.96x = 81,938,182,178.38
  5. Step 5: Solve for x
    x = 81,938,182,178.38/269,570.96
  6. Step 6: Final answer
    x = 303,957.75

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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.