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Finding the Fourth Proportional to 431,202.80, 590,749.96 and 415,041.49

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Solution

The fourth proportional to 431,202.80, 590,749.96 and 415,041.49 is: 568,608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,202.80 : 590,749.96 = 415,041.49 : x
  2. Step 2: Convert to fraction form
    431,202.80/590,749.96 = 415,041.49/x
  3. Step 3: Cross multiply
    431,202.80x = 590,749.96 × 415,041.49
  4. Step 4: Simplify right side
    431,202.80x = 245,185,740,662.09
  5. Step 5: Solve for x
    x = 245,185,740,662.09/431,202.80
  6. Step 6: Final answer
    x = 568,608.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.