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Finding the Fourth Proportional to 686,204.46, 946,962.39 and 417,932.46

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Solution

The fourth proportional to 686,204.46, 946,962.39 and 417,932.46 is: 576,746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,204.46 : 946,962.39 = 417,932.46 : x
  2. Step 2: Convert to fraction form
    686,204.46/946,962.39 = 417,932.46/x
  3. Step 3: Cross multiply
    686,204.46x = 946,962.39 × 417,932.46
  4. Step 4: Simplify right side
    686,204.46x = 395,766,321,180.18
  5. Step 5: Solve for x
    x = 395,766,321,180.18/686,204.46
  6. Step 6: Final answer
    x = 576,746.94

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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.