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Finding the Fourth Proportional to 1,002,975.71, 1,504,407.92 and 733,380.12

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Solution

The fourth proportional to 1,002,975.71, 1,504,407.92 and 733,380.12 is: 1,100,029.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,975.71 : 1,504,407.92 = 733,380.12 : x
  2. Step 2: Convert to fraction form
    1,002,975.71/1,504,407.92 = 733,380.12/x
  3. Step 3: Cross multiply
    1,002,975.71x = 1,504,407.92 × 733,380.12
  4. Step 4: Simplify right side
    1,002,975.71x = 1,103,302,857,231.65
  5. Step 5: Solve for x
    x = 1,103,302,857,231.65/1,002,975.71
  6. Step 6: Final answer
    x = 1,100,029.49

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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.