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Finding the Fourth Proportional to 508,086.64, 701,217.36 and 293,284.36

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Solution

The fourth proportional to 508,086.64, 701,217.36 and 293,284.36 is: 404,765.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,086.64 : 701,217.36 = 293,284.36 : x
  2. Step 2: Convert to fraction form
    508,086.64/701,217.36 = 293,284.36/x
  3. Step 3: Cross multiply
    508,086.64x = 701,217.36 × 293,284.36
  4. Step 4: Simplify right side
    508,086.64x = 205,656,084,648.49
  5. Step 5: Solve for x
    x = 205,656,084,648.49/508,086.64
  6. Step 6: Final answer
    x = 404,765.78

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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.