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Finding the Fourth Proportional to 356,954.82, 492,604.20 and 195,818.10

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Solution

The fourth proportional to 356,954.82, 492,604.20 and 195,818.10 is: 270,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,954.82 : 492,604.20 = 195,818.10 : x
  2. Step 2: Convert to fraction form
    356,954.82/492,604.20 = 195,818.10/x
  3. Step 3: Cross multiply
    356,954.82x = 492,604.20 × 195,818.10
  4. Step 4: Simplify right side
    356,954.82x = 96,460,818,496.02
  5. Step 5: Solve for x
    x = 96,460,818,496.02/356,954.82
  6. Step 6: Final answer
    x = 270,232.57

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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.