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Finding the Fourth Proportional to 406,621.34, 561,149.74 and 225,316.30

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Solution

The fourth proportional to 406,621.34, 561,149.74 and 225,316.30 is: 310,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,621.34 : 561,149.74 = 225,316.30 : x
  2. Step 2: Convert to fraction form
    406,621.34/561,149.74 = 225,316.30/x
  3. Step 3: Cross multiply
    406,621.34x = 561,149.74 × 225,316.30
  4. Step 4: Simplify right side
    406,621.34x = 126,436,183,162.76
  5. Step 5: Solve for x
    x = 126,436,183,162.76/406,621.34
  6. Step 6: Final answer
    x = 310,943.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.