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Finding the Fourth Proportional to 378,306.40, 522,066.38 and 208,546.60

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Solution

The fourth proportional to 378,306.40, 522,066.38 and 208,546.60 is: 287,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,306.40 : 522,066.38 = 208,546.60 : x
  2. Step 2: Convert to fraction form
    378,306.40/522,066.38 = 208,546.60/x
  3. Step 3: Cross multiply
    378,306.40x = 522,066.38 × 208,546.60
  4. Step 4: Simplify right side
    378,306.40x = 108,875,168,523.31
  5. Step 5: Solve for x
    x = 108,875,168,523.31/378,306.40
  6. Step 6: Final answer
    x = 287,796.26

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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.