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Finding the Fourth Proportional to 393,524.64, 590,601.60 and 204,038.82

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Solution

The fourth proportional to 393,524.64, 590,601.60 and 204,038.82 is: 306,221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,524.64 : 590,601.60 = 204,038.82 : x
  2. Step 2: Convert to fraction form
    393,524.64/590,601.60 = 204,038.82/x
  3. Step 3: Cross multiply
    393,524.64x = 590,601.60 × 204,038.82
  4. Step 4: Simplify right side
    393,524.64x = 120,505,653,554.11
  5. Step 5: Solve for x
    x = 120,505,653,554.11/393,524.64
  6. Step 6: Final answer
    x = 306,221.37

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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.