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Finding the Fourth Proportional to 347,645.86, 479,541.77 and 204,288.01

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Solution

The fourth proportional to 347,645.86, 479,541.77 and 204,288.01 is: 281,794.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,645.86 : 479,541.77 = 204,288.01 : x
  2. Step 2: Convert to fraction form
    347,645.86/479,541.77 = 204,288.01/x
  3. Step 3: Cross multiply
    347,645.86x = 479,541.77 × 204,288.01
  4. Step 4: Simplify right side
    347,645.86x = 97,964,632,450.96
  5. Step 5: Solve for x
    x = 97,964,632,450.96/347,645.86
  6. Step 6: Final answer
    x = 281,794.33

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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.