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Finding the Fourth Proportional to 282,346.64, 389,592.39 and 161,468.48

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Solution

The fourth proportional to 282,346.64, 389,592.39 and 161,468.48 is: 222,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,346.64 : 389,592.39 = 161,468.48 : x
  2. Step 2: Convert to fraction form
    282,346.64/389,592.39 = 161,468.48/x
  3. Step 3: Cross multiply
    282,346.64x = 389,592.39 × 161,468.48
  4. Step 4: Simplify right side
    282,346.64x = 62,906,891,032.87
  5. Step 5: Solve for x
    x = 62,906,891,032.87/282,346.64
  6. Step 6: Final answer
    x = 222,800.21

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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.