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Finding the Fourth Proportional to 314,444.98, 471,601.31 and 101,231.96

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Solution

The fourth proportional to 314,444.98, 471,601.31 and 101,231.96 is: 151,826.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,444.98 : 471,601.31 = 101,231.96 : x
  2. Step 2: Convert to fraction form
    314,444.98/471,601.31 = 101,231.96/x
  3. Step 3: Cross multiply
    314,444.98x = 471,601.31 × 101,231.96
  4. Step 4: Simplify right side
    314,444.98x = 47,741,122,844.94
  5. Step 5: Solve for x
    x = 47,741,122,844.94/314,444.98
  6. Step 6: Final answer
    x = 151,826.64

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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.