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Finding the Fourth Proportional to 645,473.73, 967,324.83 and 408,392

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Solution

The fourth proportional to 645,473.73, 967,324.83 and 408,392 is: 612,027.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,473.73 : 967,324.83 = 408,392 : x
  2. Step 2: Convert to fraction form
    645,473.73/967,324.83 = 408,392/x
  3. Step 3: Cross multiply
    645,473.73x = 967,324.83 × 408,392
  4. Step 4: Simplify right side
    645,473.73x = 395,047,721,973.36
  5. Step 5: Solve for x
    x = 395,047,721,973.36/645,473.73
  6. Step 6: Final answer
    x = 612,027.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.