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Finding the Fourth Proportional to 356,374.16, 491,796.44 and 195,235

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Solution

The fourth proportional to 356,374.16, 491,796.44 and 195,235 is: 269,424.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,374.16 : 491,796.44 = 195,235 : x
  2. Step 2: Convert to fraction form
    356,374.16/491,796.44 = 195,235/x
  3. Step 3: Cross multiply
    356,374.16x = 491,796.44 × 195,235
  4. Step 4: Simplify right side
    356,374.16x = 96,015,877,963.40
  5. Step 5: Solve for x
    x = 96,015,877,963.40/356,374.16
  6. Step 6: Final answer
    x = 269,424.35

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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.