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Finding the Fourth Proportional to 376,908.08, 520,138.22 and 204,829.46

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Solution

The fourth proportional to 376,908.08, 520,138.22 and 204,829.46 is: 282,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,908.08 : 520,138.22 = 204,829.46 : x
  2. Step 2: Convert to fraction form
    376,908.08/520,138.22 = 204,829.46/x
  3. Step 3: Cross multiply
    376,908.08x = 520,138.22 × 204,829.46
  4. Step 4: Simplify right side
    376,908.08x = 106,539,630,727.96
  5. Step 5: Solve for x
    x = 106,539,630,727.96/376,908.08
  6. Step 6: Final answer
    x = 282,667.41

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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.