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Finding the Fourth Proportional to 386,169.14, 532,944.87 and 214,141.05

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Solution

The fourth proportional to 386,169.14, 532,944.87 and 214,141.05 is: 295,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,169.14 : 532,944.87 = 214,141.05 : x
  2. Step 2: Convert to fraction form
    386,169.14/532,944.87 = 214,141.05/x
  3. Step 3: Cross multiply
    386,169.14x = 532,944.87 × 214,141.05
  4. Step 4: Simplify right side
    386,169.14x = 114,125,374,053.91
  5. Step 5: Solve for x
    x = 114,125,374,053.91/386,169.14
  6. Step 6: Final answer
    x = 295,532.10

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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.