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Finding the Fourth Proportional to 393,536.86, 543,078.36 and 223,771

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Solution

The fourth proportional to 393,536.86, 543,078.36 and 223,771 is: 308,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,536.86 : 543,078.36 = 223,771 : x
  2. Step 2: Convert to fraction form
    393,536.86/543,078.36 = 223,771/x
  3. Step 3: Cross multiply
    393,536.86x = 543,078.36 × 223,771
  4. Step 4: Simplify right side
    393,536.86x = 121,525,187,695.56
  5. Step 5: Solve for x
    x = 121,525,187,695.56/393,536.86
  6. Step 6: Final answer
    x = 308,802.55

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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.