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Finding the Fourth Proportional to 386,775.14, 533,741.28 and 214,682.96

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Solution

The fourth proportional to 386,775.14, 533,741.28 and 214,682.96 is: 296,257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,775.14 : 533,741.28 = 214,682.96 : x
  2. Step 2: Convert to fraction form
    386,775.14/533,741.28 = 214,682.96/x
  3. Step 3: Cross multiply
    386,775.14x = 533,741.28 × 214,682.96
  4. Step 4: Simplify right side
    386,775.14x = 114,585,157,864.59
  5. Step 5: Solve for x
    x = 114,585,157,864.59/386,775.14
  6. Step 6: Final answer
    x = 296,257.81

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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.