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Finding the Fourth Proportional to 293,287.64, 404,920.38 and 201,564.92

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Solution

The fourth proportional to 293,287.64, 404,920.38 and 201,564.92 is: 278,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,287.64 : 404,920.38 = 201,564.92 : x
  2. Step 2: Convert to fraction form
    293,287.64/404,920.38 = 201,564.92/x
  3. Step 3: Cross multiply
    293,287.64x = 404,920.38 × 201,564.92
  4. Step 4: Simplify right side
    293,287.64x = 81,617,744,001.07
  5. Step 5: Solve for x
    x = 81,617,744,001.07/293,287.64
  6. Step 6: Final answer
    x = 278,285.66

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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.