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Finding the Fourth Proportional to 408,408.69, 563,521.37 and 238,610.01

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Solution

The fourth proportional to 408,408.69, 563,521.37 and 238,610.01 is: 329,233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,408.69 : 563,521.37 = 238,610.01 : x
  2. Step 2: Convert to fraction form
    408,408.69/563,521.37 = 238,610.01/x
  3. Step 3: Cross multiply
    408,408.69x = 563,521.37 × 238,610.01
  4. Step 4: Simplify right side
    408,408.69x = 134,461,838,537.86
  5. Step 5: Solve for x
    x = 134,461,838,537.86/408,408.69
  6. Step 6: Final answer
    x = 329,233.54

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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.