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Finding the Fourth Proportional to 714,206, 1,071,609.38 and 444,559.56

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Solution

The fourth proportional to 714,206, 1,071,609.38 and 444,559.56 is: 667,026.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,206 : 1,071,609.38 = 444,559.56 : x
  2. Step 2: Convert to fraction form
    714,206/1,071,609.38 = 444,559.56/x
  3. Step 3: Cross multiply
    714,206x = 1,071,609.38 × 444,559.56
  4. Step 4: Simplify right side
    714,206x = 476,394,194,464.67
  5. Step 5: Solve for x
    x = 476,394,194,464.67/714,206
  6. Step 6: Final answer
    x = 667,026.31

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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.