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Finding the Fourth Proportional to 393,566.86, 543,025.65 and 230,197.96

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Solution

The fourth proportional to 393,566.86, 543,025.65 and 230,197.96 is: 317,616.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,566.86 : 543,025.65 = 230,197.96 : x
  2. Step 2: Convert to fraction form
    393,566.86/543,025.65 = 230,197.96/x
  3. Step 3: Cross multiply
    393,566.86x = 543,025.65 × 230,197.96
  4. Step 4: Simplify right side
    393,566.86x = 125,003,396,857.67
  5. Step 5: Solve for x
    x = 125,003,396,857.67/393,566.86
  6. Step 6: Final answer
    x = 317,616.67

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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.