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Finding the Fourth Proportional to 356,542.92, 492,029.28 and 195,396.48

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Solution

The fourth proportional to 356,542.92, 492,029.28 and 195,396.48 is: 269,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,542.92 : 492,029.28 = 195,396.48 : x
  2. Step 2: Convert to fraction form
    356,542.92/492,029.28 = 195,396.48/x
  3. Step 3: Cross multiply
    356,542.92x = 492,029.28 × 195,396.48
  4. Step 4: Simplify right side
    356,542.92x = 96,140,789,368.93
  5. Step 5: Solve for x
    x = 96,140,789,368.93/356,542.92
  6. Step 6: Final answer
    x = 269,647.17

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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.