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Finding the Fourth Proportional to 393,570.83, 590,793.29 and 203,980.43

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Solution

The fourth proportional to 393,570.83, 590,793.29 and 203,980.43 is: 306,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,570.83 : 590,793.29 = 203,980.43 : x
  2. Step 2: Convert to fraction form
    393,570.83/590,793.29 = 203,980.43/x
  3. Step 3: Cross multiply
    393,570.83x = 590,793.29 × 203,980.43
  4. Step 4: Simplify right side
    393,570.83x = 120,510,269,335.32
  5. Step 5: Solve for x
    x = 120,510,269,335.32/393,570.83
  6. Step 6: Final answer
    x = 306,197.16

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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.