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Finding the Fourth Proportional to 561,434.25, 774,781.27 and 306,785.44

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Solution

The fourth proportional to 561,434.25, 774,781.27 and 306,785.44 is: 423,365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,434.25 : 774,781.27 = 306,785.44 : x
  2. Step 2: Convert to fraction form
    561,434.25/774,781.27 = 306,785.44/x
  3. Step 3: Cross multiply
    561,434.25x = 774,781.27 × 306,785.44
  4. Step 4: Simplify right side
    561,434.25x = 237,691,613,022.22
  5. Step 5: Solve for x
    x = 237,691,613,022.22/561,434.25
  6. Step 6: Final answer
    x = 423,365.00

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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.