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Finding the Fourth Proportional to 686,193.60, 946,949.92 and 384,387.84

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Solution

The fourth proportional to 686,193.60, 946,949.92 and 384,387.84 is: 530,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,193.60 : 946,949.92 = 384,387.84 : x
  2. Step 2: Convert to fraction form
    686,193.60/946,949.92 = 384,387.84/x
  3. Step 3: Cross multiply
    686,193.60x = 946,949.92 × 384,387.84
  4. Step 4: Simplify right side
    686,193.60x = 363,996,034,336.97
  5. Step 5: Solve for x
    x = 363,996,034,336.97/686,193.60
  6. Step 6: Final answer
    x = 530,456.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.