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Finding the Fourth Proportional to 406,620.32, 561,157.62 and 225,352.04

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Solution

The fourth proportional to 406,620.32, 561,157.62 and 225,352.04 is: 310,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,620.32 : 561,157.62 = 225,352.04 : x
  2. Step 2: Convert to fraction form
    406,620.32/561,157.62 = 225,352.04/x
  3. Step 3: Cross multiply
    406,620.32x = 561,157.62 × 225,352.04
  4. Step 4: Simplify right side
    406,620.32x = 126,458,014,428.55
  5. Step 5: Solve for x
    x = 126,458,014,428.55/406,620.32
  6. Step 6: Final answer
    x = 310,997.77

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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.