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Finding the Fourth Proportional to 267,409.74, 400,844.46 and 167,639.78

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Solution

The fourth proportional to 267,409.74, 400,844.46 and 167,639.78 is: 251,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,409.74 : 400,844.46 = 167,639.78 : x
  2. Step 2: Convert to fraction form
    267,409.74/400,844.46 = 167,639.78/x
  3. Step 3: Cross multiply
    267,409.74x = 400,844.46 × 167,639.78
  4. Step 4: Simplify right side
    267,409.74x = 67,197,477,088.62
  5. Step 5: Solve for x
    x = 67,197,477,088.62/267,409.74
  6. Step 6: Final answer
    x = 251,290.31

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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.