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Finding the Fourth Proportional to 273,720.36, 410,580.32 and 199,313.84

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Solution

The fourth proportional to 273,720.36, 410,580.32 and 199,313.84 is: 298,970.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,720.36 : 410,580.32 = 199,313.84 : x
  2. Step 2: Convert to fraction form
    273,720.36/410,580.32 = 199,313.84/x
  3. Step 3: Cross multiply
    273,720.36x = 410,580.32 × 199,313.84
  4. Step 4: Simplify right side
    273,720.36x = 81,834,339,643.32
  5. Step 5: Solve for x
    x = 81,834,339,643.32/273,720.36
  6. Step 6: Final answer
    x = 298,970.59

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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.