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Finding the Fourth Proportional to 406,410.24, 609,608.52 and 110,922.24

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Solution

The fourth proportional to 406,410.24, 609,608.52 and 110,922.24 is: 166,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,410.24 : 609,608.52 = 110,922.24 : x
  2. Step 2: Convert to fraction form
    406,410.24/609,608.52 = 110,922.24/x
  3. Step 3: Cross multiply
    406,410.24x = 609,608.52 × 110,922.24
  4. Step 4: Simplify right side
    406,410.24x = 67,619,142,561.48
  5. Step 5: Solve for x
    x = 67,619,142,561.48/406,410.24
  6. Step 6: Final answer
    x = 166,381.49

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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.