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Finding the Fourth Proportional to 378,744.74, 522,667.38 and 208,978.88

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Solution

The fourth proportional to 378,744.74, 522,667.38 and 208,978.88 is: 288,390.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744.74 : 522,667.38 = 208,978.88 : x
  2. Step 2: Convert to fraction form
    378,744.74/522,667.38 = 208,978.88/x
  3. Step 3: Cross multiply
    378,744.74x = 522,667.38 × 208,978.88
  4. Step 4: Simplify right side
    378,744.74x = 109,226,443,684.93
  5. Step 5: Solve for x
    x = 109,226,443,684.93/378,744.74
  6. Step 6: Final answer
    x = 288,390.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.