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Finding the Fourth Proportional to 322,276.96, 483,579.24 and 144,747.76

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Solution

The fourth proportional to 322,276.96, 483,579.24 and 144,747.76 is: 217,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,276.96 : 483,579.24 = 144,747.76 : x
  2. Step 2: Convert to fraction form
    322,276.96/483,579.24 = 144,747.76/x
  3. Step 3: Cross multiply
    322,276.96x = 483,579.24 × 144,747.76
  4. Step 4: Simplify right side
    322,276.96x = 69,997,011,772.50
  5. Step 5: Solve for x
    x = 69,997,011,772.50/322,276.96
  6. Step 6: Final answer
    x = 217,195.21

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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.