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Finding the Fourth Proportional to 406,334.24, 609,494.88 and 110,846.24

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Solution

The fourth proportional to 406,334.24, 609,494.88 and 110,846.24 is: 166,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,334.24 : 609,494.88 = 110,846.24 : x
  2. Step 2: Convert to fraction form
    406,334.24/609,494.88 = 110,846.24/x
  3. Step 3: Cross multiply
    406,334.24x = 609,494.88 × 110,846.24
  4. Step 4: Simplify right side
    406,334.24x = 67,560,215,747.25
  5. Step 5: Solve for x
    x = 67,560,215,747.25/406,334.24
  6. Step 6: Final answer
    x = 166,267.59

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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.