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Finding the Fourth Proportional to 636,433.52, 878,464.32 and 378,491.84

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Solution

The fourth proportional to 636,433.52, 878,464.32 and 378,491.84 is: 522,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,433.52 : 878,464.32 = 378,491.84 : x
  2. Step 2: Convert to fraction form
    636,433.52/878,464.32 = 378,491.84/x
  3. Step 3: Cross multiply
    636,433.52x = 878,464.32 × 378,491.84
  4. Step 4: Simplify right side
    636,433.52x = 332,491,576,851.15
  5. Step 5: Solve for x
    x = 332,491,576,851.15/636,433.52
  6. Step 6: Final answer
    x = 522,429.39

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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.