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Finding the Fourth Proportional to 686,916, 947,621.52 and 485,822.88

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Solution

The fourth proportional to 686,916, 947,621.52 and 485,822.88 is: 670,207.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,916 : 947,621.52 = 485,822.88 : x
  2. Step 2: Convert to fraction form
    686,916/947,621.52 = 485,822.88/x
  3. Step 3: Cross multiply
    686,916x = 947,621.52 × 485,822.88
  4. Step 4: Simplify right side
    686,916x = 460,376,215,996.38
  5. Step 5: Solve for x
    x = 460,376,215,996.38/686,916
  6. Step 6: Final answer
    x = 670,207.44

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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.