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Finding the Fourth Proportional to 686,978.28, 947,850.66 and 396,518.76

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Solution

The fourth proportional to 686,978.28, 947,850.66 and 396,518.76 is: 547,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,978.28 : 947,850.66 = 396,518.76 : x
  2. Step 2: Convert to fraction form
    686,978.28/947,850.66 = 396,518.76/x
  3. Step 3: Cross multiply
    686,978.28x = 947,850.66 × 396,518.76
  4. Step 4: Simplify right side
    686,978.28x = 375,840,568,368.38
  5. Step 5: Solve for x
    x = 375,840,568,368.38/686,978.28
  6. Step 6: Final answer
    x = 547,092.36

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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.