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Finding the Fourth Proportional to 386,536.98, 533,425.44 and 214,458.12

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Solution

The fourth proportional to 386,536.98, 533,425.44 and 214,458.12 is: 295,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,536.98 : 533,425.44 = 214,458.12 : x
  2. Step 2: Convert to fraction form
    386,536.98/533,425.44 = 214,458.12/x
  3. Step 3: Cross multiply
    386,536.98x = 533,425.44 × 214,458.12
  4. Step 4: Simplify right side
    386,536.98x = 114,397,417,022.57
  5. Step 5: Solve for x
    x = 114,397,417,022.57/386,536.98
  6. Step 6: Final answer
    x = 295,954.65

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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.