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Finding the Fourth Proportional to 287,684.53, 396,996.38 and 160,357.39

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Solution

The fourth proportional to 287,684.53, 396,996.38 and 160,357.39 is: 221,288.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,684.53 : 396,996.38 = 160,357.39 : x
  2. Step 2: Convert to fraction form
    287,684.53/396,996.38 = 160,357.39/x
  3. Step 3: Cross multiply
    287,684.53x = 396,996.38 × 160,357.39
  4. Step 4: Simplify right side
    287,684.53x = 63,661,301,351.27
  5. Step 5: Solve for x
    x = 63,661,301,351.27/287,684.53
  6. Step 6: Final answer
    x = 221,288.58

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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.