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Finding the Fourth Proportional to 601,151.72, 901,865.82 and 180,435.56

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Solution

The fourth proportional to 601,151.72, 901,865.82 and 180,435.56 is: 270,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,151.72 : 901,865.82 = 180,435.56 : x
  2. Step 2: Convert to fraction form
    601,151.72/901,865.82 = 180,435.56/x
  3. Step 3: Cross multiply
    601,151.72x = 901,865.82 × 180,435.56
  4. Step 4: Simplify right side
    601,151.72x = 162,728,664,276.56
  5. Step 5: Solve for x
    x = 162,728,664,276.56/601,151.72
  6. Step 6: Final answer
    x = 270,694.83

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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.