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Finding the Fourth Proportional to 530,706.86, 796,371.33 and 380,785.58

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Solution

The fourth proportional to 530,706.86, 796,371.33 and 380,785.58 is: 571,401.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,706.86 : 796,371.33 = 380,785.58 : x
  2. Step 2: Convert to fraction form
    530,706.86/796,371.33 = 380,785.58/x
  3. Step 3: Cross multiply
    530,706.86x = 796,371.33 × 380,785.58
  4. Step 4: Simplify right side
    530,706.86x = 303,246,718,789.42
  5. Step 5: Solve for x
    x = 303,246,718,789.42/530,706.86
  6. Step 6: Final answer
    x = 571,401.54

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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.