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Finding the Fourth Proportional to 386,215.58, 533,008.96 and 214,150.62

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Solution

The fourth proportional to 386,215.58, 533,008.96 and 214,150.62 is: 295,545.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,215.58 : 533,008.96 = 214,150.62 : x
  2. Step 2: Convert to fraction form
    386,215.58/533,008.96 = 214,150.62/x
  3. Step 3: Cross multiply
    386,215.58x = 533,008.96 × 214,150.62
  4. Step 4: Simplify right side
    386,215.58x = 114,144,199,249.56
  5. Step 5: Solve for x
    x = 114,144,199,249.56/386,215.58
  6. Step 6: Final answer
    x = 295,545.30

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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.