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Finding the Fourth Proportional to 412,932.02, 569,896.16 and 231,609.68

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Solution

The fourth proportional to 412,932.02, 569,896.16 and 231,609.68 is: 319,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,932.02 : 569,896.16 = 231,609.68 : x
  2. Step 2: Convert to fraction form
    412,932.02/569,896.16 = 231,609.68/x
  3. Step 3: Cross multiply
    412,932.02x = 569,896.16 × 231,609.68
  4. Step 4: Simplify right side
    412,932.02x = 131,993,463,243.30
  5. Step 5: Solve for x
    x = 131,993,463,243.30/412,932.02
  6. Step 6: Final answer
    x = 319,649.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.