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Finding the Fourth Proportional to 471,096.96, 706,710.59 and 151,173.59

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Solution

The fourth proportional to 471,096.96, 706,710.59 and 151,173.59 is: 226,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,096.96 : 706,710.59 = 151,173.59 : x
  2. Step 2: Convert to fraction form
    471,096.96/706,710.59 = 151,173.59/x
  3. Step 3: Cross multiply
    471,096.96x = 706,710.59 × 151,173.59
  4. Step 4: Simplify right side
    471,096.96x = 106,835,972,691.90
  5. Step 5: Solve for x
    x = 106,835,972,691.90/471,096.96
  6. Step 6: Final answer
    x = 226,781.28

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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.