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Finding the Fourth Proportional to 476,537.92, 714,596.94 and 223,890.22

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Solution

The fourth proportional to 476,537.92, 714,596.94 and 223,890.22 is: 335,736.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,537.92 : 714,596.94 = 223,890.22 : x
  2. Step 2: Convert to fraction form
    476,537.92/714,596.94 = 223,890.22/x
  3. Step 3: Cross multiply
    476,537.92x = 714,596.94 × 223,890.22
  4. Step 4: Simplify right side
    476,537.92x = 159,991,266,107.93
  5. Step 5: Solve for x
    x = 159,991,266,107.93/476,537.92
  6. Step 6: Final answer
    x = 335,736.69

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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.