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Finding the Fourth Proportional to 282,013.80, 423,020.70 and 264,517.80

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Solution

The fourth proportional to 282,013.80, 423,020.70 and 264,517.80 is: 396,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,013.80 : 423,020.70 = 264,517.80 : x
  2. Step 2: Convert to fraction form
    282,013.80/423,020.70 = 264,517.80/x
  3. Step 3: Cross multiply
    282,013.80x = 423,020.70 × 264,517.80
  4. Step 4: Simplify right side
    282,013.80x = 111,896,504,918.46
  5. Step 5: Solve for x
    x = 111,896,504,918.46/282,013.80
  6. Step 6: Final answer
    x = 396,776.70

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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.