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Finding the Fourth Proportional to 496,264.86, 744,471.09 and 230,052.30

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Solution

The fourth proportional to 496,264.86, 744,471.09 and 230,052.30 is: 345,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,264.86 : 744,471.09 = 230,052.30 : x
  2. Step 2: Convert to fraction form
    496,264.86/744,471.09 = 230,052.30/x
  3. Step 3: Cross multiply
    496,264.86x = 744,471.09 × 230,052.30
  4. Step 4: Simplify right side
    496,264.86x = 171,267,286,538.01
  5. Step 5: Solve for x
    x = 171,267,286,538.01/496,264.86
  6. Step 6: Final answer
    x = 345,112.66

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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.