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Finding the Fourth Proportional to 686,972.28, 947,842.38 and 396,512.76

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Solution

The fourth proportional to 686,972.28, 947,842.38 and 396,512.76 is: 547,084.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,972.28 : 947,842.38 = 396,512.76 : x
  2. Step 2: Convert to fraction form
    686,972.28/947,842.38 = 396,512.76/x
  3. Step 3: Cross multiply
    686,972.28x = 947,842.38 × 396,512.76
  4. Step 4: Simplify right side
    686,972.28x = 375,831,598,138.77
  5. Step 5: Solve for x
    x = 375,831,598,138.77/686,972.28
  6. Step 6: Final answer
    x = 547,084.08

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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.