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Finding the Fourth Proportional to 406,462.60, 560,912.34 and 225,174.16

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Solution

The fourth proportional to 406,462.60, 560,912.34 and 225,174.16 is: 310,736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,462.60 : 560,912.34 = 225,174.16 : x
  2. Step 2: Convert to fraction form
    406,462.60/560,912.34 = 225,174.16/x
  3. Step 3: Cross multiply
    406,462.60x = 560,912.34 × 225,174.16
  4. Step 4: Simplify right side
    406,462.60x = 126,302,964,993.13
  5. Step 5: Solve for x
    x = 126,302,964,993.13/406,462.60
  6. Step 6: Final answer
    x = 310,736.99

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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.