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Finding the Fourth Proportional to 378,928.59, 522,921.38 and 209,162.67

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Solution

The fourth proportional to 378,928.59, 522,921.38 and 209,162.67 is: 288,644.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,928.59 : 522,921.38 = 209,162.67 : x
  2. Step 2: Convert to fraction form
    378,928.59/522,921.38 = 209,162.67/x
  3. Step 3: Cross multiply
    378,928.59x = 522,921.38 × 209,162.67
  4. Step 4: Simplify right side
    378,928.59x = 109,375,630,995.07
  5. Step 5: Solve for x
    x = 109,375,630,995.07/378,928.59
  6. Step 6: Final answer
    x = 288,644.44

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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.