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Finding the Fourth Proportional to 356,414.66, 491,852.22 and 195,275.82

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Solution

The fourth proportional to 356,414.66, 491,852.22 and 195,275.82 is: 269,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,414.66 : 491,852.22 = 195,275.82 : x
  2. Step 2: Convert to fraction form
    356,414.66/491,852.22 = 195,275.82/x
  3. Step 3: Cross multiply
    356,414.66x = 491,852.22 × 195,275.82
  4. Step 4: Simplify right side
    356,414.66x = 96,046,845,579.32
  5. Step 5: Solve for x
    x = 96,046,845,579.32/356,414.66
  6. Step 6: Final answer
    x = 269,480.63

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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.