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Finding the Fourth Proportional to 316,633.82, 474,999.96 and 106,320.96

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Solution

The fourth proportional to 316,633.82, 474,999.96 and 106,320.96 is: 159,497.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,633.82 : 474,999.96 = 106,320.96 : x
  2. Step 2: Convert to fraction form
    316,633.82/474,999.96 = 106,320.96/x
  3. Step 3: Cross multiply
    316,633.82x = 474,999.96 × 106,320.96
  4. Step 4: Simplify right side
    316,633.82x = 50,502,451,747.16
  5. Step 5: Solve for x
    x = 50,502,451,747.16/316,633.82
  6. Step 6: Final answer
    x = 159,497.97

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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.