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Finding the Fourth Proportional to 378,744.30, 522,668.92 and 208,978.42

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Solution

The fourth proportional to 378,744.30, 522,668.92 and 208,978.42 is: 288,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744.30 : 522,668.92 = 208,978.42 : x
  2. Step 2: Convert to fraction form
    378,744.30/522,668.92 = 208,978.42/x
  3. Step 3: Cross multiply
    378,744.30x = 522,668.92 × 208,978.42
  4. Step 4: Simplify right side
    378,744.30x = 109,226,525,084.71
  5. Step 5: Solve for x
    x = 109,226,525,084.71/378,744.30
  6. Step 6: Final answer
    x = 288,391.21

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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.