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Finding the Fourth Proportional to 273,619.86, 410,427.63 and 147,319.26

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Solution

The fourth proportional to 273,619.86, 410,427.63 and 147,319.26 is: 220,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,619.86 : 410,427.63 = 147,319.26 : x
  2. Step 2: Convert to fraction form
    273,619.86/410,427.63 = 147,319.26/x
  3. Step 3: Cross multiply
    273,619.86x = 410,427.63 × 147,319.26
  4. Step 4: Simplify right side
    273,619.86x = 60,463,894,735.15
  5. Step 5: Solve for x
    x = 60,463,894,735.15/273,619.86
  6. Step 6: Final answer
    x = 220,977.73

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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.