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Finding the Fourth Proportional to 467,072, 644,561.92 and 255,104

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Solution

The fourth proportional to 467,072, 644,561.92 and 255,104 is: 352,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,072 : 644,561.92 = 255,104 : x
  2. Step 2: Convert to fraction form
    467,072/644,561.92 = 255,104/x
  3. Step 3: Cross multiply
    467,072x = 644,561.92 × 255,104
  4. Step 4: Simplify right side
    467,072x = 164,430,324,039.68
  5. Step 5: Solve for x
    x = 164,430,324,039.68/467,072
  6. Step 6: Final answer
    x = 352,044.92

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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.