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Finding the Fourth Proportional to 686,926.88, 947,965.68 and 381,033.32

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Solution

The fourth proportional to 686,926.88, 947,965.68 and 381,033.32 is: 525,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,926.88 : 947,965.68 = 381,033.32 : x
  2. Step 2: Convert to fraction form
    686,926.88/947,965.68 = 381,033.32/x
  3. Step 3: Cross multiply
    686,926.88x = 947,965.68 × 381,033.32
  4. Step 4: Simplify right side
    686,926.88x = 361,206,505,556.63
  5. Step 5: Solve for x
    x = 361,206,505,556.63/686,926.88
  6. Step 6: Final answer
    x = 525,829.63

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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.