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Finding the Fourth Proportional to 516,830.82, 775,246.24 and 161,872.62

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Solution

The fourth proportional to 516,830.82, 775,246.24 and 161,872.62 is: 242,808.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,830.82 : 775,246.24 = 161,872.62 : x
  2. Step 2: Convert to fraction form
    516,830.82/775,246.24 = 161,872.62/x
  3. Step 3: Cross multiply
    516,830.82x = 775,246.24 × 161,872.62
  4. Step 4: Simplify right side
    516,830.82x = 125,491,140,013.95
  5. Step 5: Solve for x
    x = 125,491,140,013.95/516,830.82
  6. Step 6: Final answer
    x = 242,808.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.