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Finding the Fourth Proportional to 287,292.87, 396,398.07 and 164,728.53

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Solution

The fourth proportional to 287,292.87, 396,398.07 and 164,728.53 is: 227,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,292.87 : 396,398.07 = 164,728.53 : x
  2. Step 2: Convert to fraction form
    287,292.87/396,398.07 = 164,728.53/x
  3. Step 3: Cross multiply
    287,292.87x = 396,398.07 × 164,728.53
  4. Step 4: Simplify right side
    287,292.87x = 65,298,071,365.94
  5. Step 5: Solve for x
    x = 65,298,071,365.94/287,292.87
  6. Step 6: Final answer
    x = 227,287.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.