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Finding the Fourth Proportional to 383,944.86, 529,713.27 and 233,012.70

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Solution

The fourth proportional to 383,944.86, 529,713.27 and 233,012.70 is: 321,478.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,944.86 : 529,713.27 = 233,012.70 : x
  2. Step 2: Convert to fraction form
    383,944.86/529,713.27 = 233,012.70/x
  3. Step 3: Cross multiply
    383,944.86x = 529,713.27 × 233,012.70
  4. Step 4: Simplify right side
    383,944.86x = 123,429,919,268.53
  5. Step 5: Solve for x
    x = 123,429,919,268.53/383,944.86
  6. Step 6: Final answer
    x = 321,478.24

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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.