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Finding the Fourth Proportional to 422,599.14, 633,921.78 and 107,058.78

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Solution

The fourth proportional to 422,599.14, 633,921.78 and 107,058.78 is: 160,594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,599.14 : 633,921.78 = 107,058.78 : x
  2. Step 2: Convert to fraction form
    422,599.14/633,921.78 = 107,058.78/x
  3. Step 3: Cross multiply
    422,599.14x = 633,921.78 × 107,058.78
  4. Step 4: Simplify right side
    422,599.14x = 67,866,892,382.23
  5. Step 5: Solve for x
    x = 67,866,892,382.23/422,599.14
  6. Step 6: Final answer
    x = 160,594.01

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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.