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Finding the Fourth Proportional to 386,719, 533,677.98 and 214,648.11

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Solution

The fourth proportional to 386,719, 533,677.98 and 214,648.11 is: 296,217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,719 : 533,677.98 = 214,648.11 : x
  2. Step 2: Convert to fraction form
    386,719/533,677.98 = 214,648.11/x
  3. Step 3: Cross multiply
    386,719x = 533,677.98 × 214,648.11
  4. Step 4: Simplify right side
    386,719x = 114,552,969,755.62
  5. Step 5: Solve for x
    x = 114,552,969,755.62/386,719
  6. Step 6: Final answer
    x = 296,217.59

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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.