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Finding the Fourth Proportional to 273,381.60, 410,072.40 and 147,410.40

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Solution

The fourth proportional to 273,381.60, 410,072.40 and 147,410.40 is: 221,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,381.60 : 410,072.40 = 147,410.40 : x
  2. Step 2: Convert to fraction form
    273,381.60/410,072.40 = 147,410.40/x
  3. Step 3: Cross multiply
    273,381.60x = 410,072.40 × 147,410.40
  4. Step 4: Simplify right side
    273,381.60x = 60,448,936,512.96
  5. Step 5: Solve for x
    x = 60,448,936,512.96/273,381.60
  6. Step 6: Final answer
    x = 221,115.60

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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.