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Finding the Fourth Proportional to 686,093.63, 946,809.20 and 417,821.63

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Solution

The fourth proportional to 686,093.63, 946,809.20 and 417,821.63 is: 576,593.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,093.63 : 946,809.20 = 417,821.63 : x
  2. Step 2: Convert to fraction form
    686,093.63/946,809.20 = 417,821.63/x
  3. Step 3: Cross multiply
    686,093.63x = 946,809.20 × 417,821.63
  4. Step 4: Simplify right side
    686,093.63x = 395,597,359,553.50
  5. Step 5: Solve for x
    x = 395,597,359,553.50/686,093.63
  6. Step 6: Final answer
    x = 576,593.84

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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.