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Finding the Fourth Proportional to 384,421.14, 576,634.14 and 252,141.66

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Solution

The fourth proportional to 384,421.14, 576,634.14 and 252,141.66 is: 378,214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,421.14 : 576,634.14 = 252,141.66 : x
  2. Step 2: Convert to fraction form
    384,421.14/576,634.14 = 252,141.66/x
  3. Step 3: Cross multiply
    384,421.14x = 576,634.14 × 252,141.66
  4. Step 4: Simplify right side
    384,421.14x = 145,393,489,272.27
  5. Step 5: Solve for x
    x = 145,393,489,272.27/384,421.14
  6. Step 6: Final answer
    x = 378,214.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.