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Finding the Fourth Proportional to 356,707.96, 492,243.92 and 195,559.47

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Solution

The fourth proportional to 356,707.96, 492,243.92 and 195,559.47 is: 269,864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,707.96 : 492,243.92 = 195,559.47 : x
  2. Step 2: Convert to fraction form
    356,707.96/492,243.92 = 195,559.47/x
  3. Step 3: Cross multiply
    356,707.96x = 492,243.92 × 195,559.47
  4. Step 4: Simplify right side
    356,707.96x = 96,262,959,861.47
  5. Step 5: Solve for x
    x = 96,262,959,861.47/356,707.96
  6. Step 6: Final answer
    x = 269,864.91

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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.