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Finding the Fourth Proportional to 617,735.49, 927,202.45 and 298,112.30

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Solution

The fourth proportional to 617,735.49, 927,202.45 and 298,112.30 is: 447,457.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,735.49 : 927,202.45 = 298,112.30 : x
  2. Step 2: Convert to fraction form
    617,735.49/927,202.45 = 298,112.30/x
  3. Step 3: Cross multiply
    617,735.49x = 927,202.45 × 298,112.30
  4. Step 4: Simplify right side
    617,735.49x = 276,410,454,935.14
  5. Step 5: Solve for x
    x = 276,410,454,935.14/617,735.49
  6. Step 6: Final answer
    x = 447,457.62

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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.