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Finding the Fourth Proportional to 356,546.43, 492,034.77 and 195,407.46

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Solution

The fourth proportional to 356,546.43, 492,034.77 and 195,407.46 is: 269,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,546.43 : 492,034.77 = 195,407.46 : x
  2. Step 2: Convert to fraction form
    356,546.43/492,034.77 = 195,407.46/x
  3. Step 3: Cross multiply
    356,546.43x = 492,034.77 × 195,407.46
  4. Step 4: Simplify right side
    356,546.43x = 96,147,264,637.38
  5. Step 5: Solve for x
    x = 96,147,264,637.38/356,546.43
  6. Step 6: Final answer
    x = 269,662.68

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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.