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Finding the Fourth Proportional to 322,485.30, 483,596.73 and 144,944.64

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Solution

The fourth proportional to 322,485.30, 483,596.73 and 144,944.64 is: 217,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,485.30 : 483,596.73 = 144,944.64 : x
  2. Step 2: Convert to fraction form
    322,485.30/483,596.73 = 144,944.64/x
  3. Step 3: Cross multiply
    322,485.30x = 483,596.73 × 144,944.64
  4. Step 4: Simplify right side
    322,485.30x = 70,094,753,935.03
  5. Step 5: Solve for x
    x = 70,094,753,935.03/322,485.30
  6. Step 6: Final answer
    x = 217,357.98

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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.