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Finding the Fourth Proportional to 293,287.14, 404,919.70 and 201,564.42

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Solution

The fourth proportional to 293,287.14, 404,919.70 and 201,564.42 is: 278,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,287.14 : 404,919.70 = 201,564.42 : x
  2. Step 2: Convert to fraction form
    293,287.14/404,919.70 = 201,564.42/x
  3. Step 3: Cross multiply
    293,287.14x = 404,919.70 × 201,564.42
  4. Step 4: Simplify right side
    293,287.14x = 81,617,404,477.07
  5. Step 5: Solve for x
    x = 81,617,404,477.07/293,287.14
  6. Step 6: Final answer
    x = 278,284.98

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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.