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Finding the Fourth Proportional to 400,404.33, 600,323.00 and 200,582.19

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Solution

The fourth proportional to 400,404.33, 600,323.00 and 200,582.19 is: 300,731.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,404.33 : 600,323.00 = 200,582.19 : x
  2. Step 2: Convert to fraction form
    400,404.33/600,323.00 = 200,582.19/x
  3. Step 3: Cross multiply
    400,404.33x = 600,323.00 × 200,582.19
  4. Step 4: Simplify right side
    400,404.33x = 120,414,101,044.46
  5. Step 5: Solve for x
    x = 120,414,101,044.46/400,404.33
  6. Step 6: Final answer
    x = 300,731.27

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1.5x scale

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.