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Finding the Fourth Proportional to 384,207.11, 530,156.90 and 214,448.39

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Solution

The fourth proportional to 384,207.11, 530,156.90 and 214,448.39 is: 295,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,207.11 : 530,156.90 = 214,448.39 : x
  2. Step 2: Convert to fraction form
    384,207.11/530,156.90 = 214,448.39/x
  3. Step 3: Cross multiply
    384,207.11x = 530,156.90 × 214,448.39
  4. Step 4: Simplify right side
    384,207.11x = 113,691,291,537.73
  5. Step 5: Solve for x
    x = 113,691,291,537.73/384,207.11
  6. Step 6: Final answer
    x = 295,911.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.