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Finding the Fourth Proportional to 686,892.42, 947,968.17 and 381,067.26

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Solution

The fourth proportional to 686,892.42, 947,968.17 and 381,067.26 is: 525,904.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,892.42 : 947,968.17 = 381,067.26 : x
  2. Step 2: Convert to fraction form
    686,892.42/947,968.17 = 381,067.26/x
  3. Step 3: Cross multiply
    686,892.42x = 947,968.17 × 381,067.26
  4. Step 4: Simplify right side
    686,892.42x = 361,239,633,109.11
  5. Step 5: Solve for x
    x = 361,239,633,109.11/686,892.42
  6. Step 6: Final answer
    x = 525,904.24

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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.