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Finding the Fourth Proportional to 293,599.44, 405,165 and 159,464.40

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Solution

The fourth proportional to 293,599.44, 405,165 and 159,464.40 is: 220,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,599.44 : 405,165 = 159,464.40 : x
  2. Step 2: Convert to fraction form
    293,599.44/405,165 = 159,464.40/x
  3. Step 3: Cross multiply
    293,599.44x = 405,165 × 159,464.40
  4. Step 4: Simplify right side
    293,599.44x = 64,609,393,626
  5. Step 5: Solve for x
    x = 64,609,393,626/293,599.44
  6. Step 6: Final answer
    x = 220,059.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.