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Finding the Fourth Proportional to 273,274.32, 409,990.86 and 113,320.92

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Solution

The fourth proportional to 273,274.32, 409,990.86 and 113,320.92 is: 170,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,274.32 : 409,990.86 = 113,320.92 : x
  2. Step 2: Convert to fraction form
    273,274.32/409,990.86 = 113,320.92/x
  3. Step 3: Cross multiply
    273,274.32x = 409,990.86 × 113,320.92
  4. Step 4: Simplify right side
    273,274.32x = 46,460,541,446.79
  5. Step 5: Solve for x
    x = 46,460,541,446.79/273,274.32
  6. Step 6: Final answer
    x = 170,014.30

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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.