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Finding the Fourth Proportional to 282,769.11, 424,159.11 and 226,347.30

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Solution

The fourth proportional to 282,769.11, 424,159.11 and 226,347.30 is: 339,525.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769.11 : 424,159.11 = 226,347.30 : x
  2. Step 2: Convert to fraction form
    282,769.11/424,159.11 = 226,347.30/x
  3. Step 3: Cross multiply
    282,769.11x = 424,159.11 × 226,347.30
  4. Step 4: Simplify right side
    282,769.11x = 96,007,269,318.90
  5. Step 5: Solve for x
    x = 96,007,269,318.90/282,769.11
  6. Step 6: Final answer
    x = 339,525.31

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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.