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Finding the Fourth Proportional to 356,370.43, 491,803.44 and 195,225.44

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Solution

The fourth proportional to 356,370.43, 491,803.44 and 195,225.44 is: 269,417.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,370.43 : 491,803.44 = 195,225.44 : x
  2. Step 2: Convert to fraction form
    356,370.43/491,803.44 = 195,225.44/x
  3. Step 3: Cross multiply
    356,370.43x = 491,803.44 × 195,225.44
  4. Step 4: Simplify right side
    356,370.43x = 96,012,542,967.51
  5. Step 5: Solve for x
    x = 96,012,542,967.51/356,370.43
  6. Step 6: Final answer
    x = 269,417.82

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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.