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Finding the Fourth Proportional to 475,919.82, 656,758.08 and 261,057.96

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Solution

The fourth proportional to 475,919.82, 656,758.08 and 261,057.96 is: 360,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,919.82 : 656,758.08 = 261,057.96 : x
  2. Step 2: Convert to fraction form
    475,919.82/656,758.08 = 261,057.96/x
  3. Step 3: Cross multiply
    475,919.82x = 656,758.08 × 261,057.96
  4. Step 4: Simplify right side
    475,919.82x = 171,451,924,578.32
  5. Step 5: Solve for x
    x = 171,451,924,578.32/475,919.82
  6. Step 6: Final answer
    x = 360,253.80

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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.