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Finding the Fourth Proportional to 273,475.36, 410,256.42 and 115,705

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Solution

The fourth proportional to 273,475.36, 410,256.42 and 115,705 is: 173,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,475.36 : 410,256.42 = 115,705 : x
  2. Step 2: Convert to fraction form
    273,475.36/410,256.42 = 115,705/x
  3. Step 3: Cross multiply
    273,475.36x = 410,256.42 × 115,705
  4. Step 4: Simplify right side
    273,475.36x = 47,468,719,076.10
  5. Step 5: Solve for x
    x = 47,468,719,076.10/273,475.36
  6. Step 6: Final answer
    x = 173,575.85

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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.