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Finding the Fourth Proportional to 471,236.93, 706,921.10 and 151,398.50

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Solution

The fourth proportional to 471,236.93, 706,921.10 and 151,398.50 is: 227,118.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,236.93 : 706,921.10 = 151,398.50 : x
  2. Step 2: Convert to fraction form
    471,236.93/706,921.10 = 151,398.50/x
  3. Step 3: Cross multiply
    471,236.93x = 706,921.10 × 151,398.50
  4. Step 4: Simplify right side
    471,236.93x = 107,026,789,866.75
  5. Step 5: Solve for x
    x = 107,026,789,866.75/471,236.93
  6. Step 6: Final answer
    x = 227,118.85

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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.