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Finding the Fourth Proportional to 314,679.56, 471,917.26 and 104,261

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Solution

The fourth proportional to 314,679.56, 471,917.26 and 104,261 is: 156,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,679.56 : 471,917.26 = 104,261 : x
  2. Step 2: Convert to fraction form
    314,679.56/471,917.26 = 104,261/x
  3. Step 3: Cross multiply
    314,679.56x = 471,917.26 × 104,261
  4. Step 4: Simplify right side
    314,679.56x = 49,202,565,444.86
  5. Step 5: Solve for x
    x = 49,202,565,444.86/314,679.56
  6. Step 6: Final answer
    x = 156,357.68

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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.