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Finding the Fourth Proportional to 686,098, 946,815.24 and 417,826

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Solution

The fourth proportional to 686,098, 946,815.24 and 417,826 is: 576,599.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,098 : 946,815.24 = 417,826 : x
  2. Step 2: Convert to fraction form
    686,098/946,815.24 = 417,826/x
  3. Step 3: Cross multiply
    686,098x = 946,815.24 × 417,826
  4. Step 4: Simplify right side
    686,098x = 395,604,024,468.24
  5. Step 5: Solve for x
    x = 395,604,024,468.24/686,098
  6. Step 6: Final answer
    x = 576,599.88

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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.