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Finding the Fourth Proportional to 356,675.94, 492,212.43 and 195,532.38

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Solution

The fourth proportional to 356,675.94, 492,212.43 and 195,532.38 is: 269,834.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,675.94 : 492,212.43 = 195,532.38 : x
  2. Step 2: Convert to fraction form
    356,675.94/492,212.43 = 195,532.38/x
  3. Step 3: Cross multiply
    356,675.94x = 492,212.43 × 195,532.38
  4. Step 4: Simplify right side
    356,675.94x = 96,243,467,903.48
  5. Step 5: Solve for x
    x = 96,243,467,903.48/356,675.94
  6. Step 6: Final answer
    x = 269,834.48

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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.