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Finding the Fourth Proportional to 322,477.20, 483,591.33 and 106,284.02

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Solution

The fourth proportional to 322,477.20, 483,591.33 and 106,284.02 is: 159,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,477.20 : 483,591.33 = 106,284.02 : x
  2. Step 2: Convert to fraction form
    322,477.20/483,591.33 = 106,284.02/x
  3. Step 3: Cross multiply
    322,477.20x = 483,591.33 × 106,284.02
  4. Step 4: Simplify right side
    322,477.20x = 51,398,028,171.59
  5. Step 5: Solve for x
    x = 51,398,028,171.59/322,477.20
  6. Step 6: Final answer
    x = 159,385.00

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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.