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Finding the Fourth Proportional to 316,796.70, 474,063.12 and 275,167.20

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Solution

The fourth proportional to 316,796.70, 474,063.12 and 275,167.20 is: 411,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,796.70 : 474,063.12 = 275,167.20 : x
  2. Step 2: Convert to fraction form
    316,796.70/474,063.12 = 275,167.20/x
  3. Step 3: Cross multiply
    316,796.70x = 474,063.12 × 275,167.20
  4. Step 4: Simplify right side
    316,796.70x = 130,446,621,353.66
  5. Step 5: Solve for x
    x = 130,446,621,353.66/316,796.70
  6. Step 6: Final answer
    x = 411,767.61

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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.