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Finding the Fourth Proportional to 273,824.35, 410,705.38 and 74,160.30

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Solution

The fourth proportional to 273,824.35, 410,705.38 and 74,160.30 is: 111,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,824.35 : 410,705.38 = 74,160.30 : x
  2. Step 2: Convert to fraction form
    273,824.35/410,705.38 = 74,160.30/x
  3. Step 3: Cross multiply
    273,824.35x = 410,705.38 × 74,160.30
  4. Step 4: Simplify right side
    273,824.35x = 30,458,034,192.41
  5. Step 5: Solve for x
    x = 30,458,034,192.41/273,824.35
  6. Step 6: Final answer
    x = 111,232.01

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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.