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Finding the Fourth Proportional to 327,198.32, 490,803.64 and 102,553.76

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Solution

The fourth proportional to 327,198.32, 490,803.64 and 102,553.76 is: 153,832.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,198.32 : 490,803.64 = 102,553.76 : x
  2. Step 2: Convert to fraction form
    327,198.32/490,803.64 = 102,553.76/x
  3. Step 3: Cross multiply
    327,198.32x = 490,803.64 × 102,553.76
  4. Step 4: Simplify right side
    327,198.32x = 50,333,758,703.69
  5. Step 5: Solve for x
    x = 50,333,758,703.69/327,198.32
  6. Step 6: Final answer
    x = 153,832.57

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1.5x scale

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.