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Finding the Fourth Proportional to 506,704.56, 699,183.40 and 302,712.31

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Solution

The fourth proportional to 506,704.56, 699,183.40 and 302,712.31 is: 417,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,704.56 : 699,183.40 = 302,712.31 : x
  2. Step 2: Convert to fraction form
    506,704.56/699,183.40 = 302,712.31/x
  3. Step 3: Cross multiply
    506,704.56x = 699,183.40 × 302,712.31
  4. Step 4: Simplify right side
    506,704.56x = 211,651,419,622.92
  5. Step 5: Solve for x
    x = 211,651,419,622.92/506,704.56
  6. Step 6: Final answer
    x = 417,701.83

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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.