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Finding the Fourth Proportional to 463,408.10, 694,237.35 and 238,001.30

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Solution

The fourth proportional to 463,408.10, 694,237.35 and 238,001.30 is: 356,552.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,408.10 : 694,237.35 = 238,001.30 : x
  2. Step 2: Convert to fraction form
    463,408.10/694,237.35 = 238,001.30/x
  3. Step 3: Cross multiply
    463,408.10x = 694,237.35 × 238,001.30
  4. Step 4: Simplify right side
    463,408.10x = 165,229,391,808.56
  5. Step 5: Solve for x
    x = 165,229,391,808.56/463,408.10
  6. Step 6: Final answer
    x = 356,552.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.