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Finding the Fourth Proportional to 378,969.54, 522,964.26 and 209,200.02

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Solution

The fourth proportional to 378,969.54, 522,964.26 and 209,200.02 is: 288,688.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,969.54 : 522,964.26 = 209,200.02 : x
  2. Step 2: Convert to fraction form
    378,969.54/522,964.26 = 209,200.02/x
  3. Step 3: Cross multiply
    378,969.54x = 522,964.26 × 209,200.02
  4. Step 4: Simplify right side
    378,969.54x = 109,404,133,651.29
  5. Step 5: Solve for x
    x = 109,404,133,651.29/378,969.54
  6. Step 6: Final answer
    x = 288,688.46

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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.