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Finding the Fourth Proportional to 407,131.70, 610,690.35 and 167,193.62

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Solution

The fourth proportional to 407,131.70, 610,690.35 and 167,193.62 is: 250,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,131.70 : 610,690.35 = 167,193.62 : x
  2. Step 2: Convert to fraction form
    407,131.70/610,690.35 = 167,193.62/x
  3. Step 3: Cross multiply
    407,131.70x = 610,690.35 × 167,193.62
  4. Step 4: Simplify right side
    407,131.70x = 102,103,530,315.57
  5. Step 5: Solve for x
    x = 102,103,530,315.57/407,131.70
  6. Step 6: Final answer
    x = 250,787.47

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1.5x scale

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.