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Finding the Fourth Proportional to 686,103, 946,822.14 and 417,831

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Solution

The fourth proportional to 686,103, 946,822.14 and 417,831 is: 576,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,103 : 946,822.14 = 417,831 : x
  2. Step 2: Convert to fraction form
    686,103/946,822.14 = 417,831/x
  3. Step 3: Cross multiply
    686,103x = 946,822.14 × 417,831
  4. Step 4: Simplify right side
    686,103x = 395,611,641,578.34
  5. Step 5: Solve for x
    x = 395,611,641,578.34/686,103
  6. Step 6: Final answer
    x = 576,606.78

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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.