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Finding the Fourth Proportional to 386,951, 534,025.92 and 214,902.14

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Solution

The fourth proportional to 386,951, 534,025.92 and 214,902.14 is: 296,583.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,951 : 534,025.92 = 214,902.14 : x
  2. Step 2: Convert to fraction form
    386,951/534,025.92 = 214,902.14/x
  3. Step 3: Cross multiply
    386,951x = 534,025.92 × 214,902.14
  4. Step 4: Simplify right side
    386,951x = 114,763,313,023.47
  5. Step 5: Solve for x
    x = 114,763,313,023.47/386,951
  6. Step 6: Final answer
    x = 296,583.58

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Why These Related Problems?

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