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Finding the Fourth Proportional to 300,174.89, 414,263.84 and 171,116.44

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Solution

The fourth proportional to 300,174.89, 414,263.84 and 171,116.44 is: 236,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,174.89 : 414,263.84 = 171,116.44 : x
  2. Step 2: Convert to fraction form
    300,174.89/414,263.84 = 171,116.44/x
  3. Step 3: Cross multiply
    300,174.89x = 414,263.84 × 171,116.44
  4. Step 4: Simplify right side
    300,174.89x = 70,887,351,630.29
  5. Step 5: Solve for x
    x = 70,887,351,630.29/300,174.89
  6. Step 6: Final answer
    x = 236,153.51

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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.