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Finding the Fourth Proportional to 598,106, 825,383.44 and 329,834

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Solution

The fourth proportional to 598,106, 825,383.44 and 329,834 is: 455,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,106 : 825,383.44 = 329,834 : x
  2. Step 2: Convert to fraction form
    598,106/825,383.44 = 329,834/x
  3. Step 3: Cross multiply
    598,106x = 825,383.44 × 329,834
  4. Step 4: Simplify right side
    598,106x = 272,239,521,548.96
  5. Step 5: Solve for x
    x = 272,239,521,548.96/598,106
  6. Step 6: Final answer
    x = 455,169.35

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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.