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Finding the Fourth Proportional to 282,463.92, 389,798.40 and 169,286.64

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Solution

The fourth proportional to 282,463.92, 389,798.40 and 169,286.64 is: 233,614.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,463.92 : 389,798.40 = 169,286.64 : x
  2. Step 2: Convert to fraction form
    282,463.92/389,798.40 = 169,286.64/x
  3. Step 3: Cross multiply
    282,463.92x = 389,798.40 × 169,286.64
  4. Step 4: Simplify right side
    282,463.92x = 65,987,661,413.38
  5. Step 5: Solve for x
    x = 65,987,661,413.38/282,463.92
  6. Step 6: Final answer
    x = 233,614.48

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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.