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Finding the Fourth Proportional to 522,336.40, 783,650.40 and 256,105.60

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Solution

The fourth proportional to 522,336.40, 783,650.40 and 256,105.60 is: 384,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,336.40 : 783,650.40 = 256,105.60 : x
  2. Step 2: Convert to fraction form
    522,336.40/783,650.40 = 256,105.60/x
  3. Step 3: Cross multiply
    522,336.40x = 783,650.40 × 256,105.60
  4. Step 4: Simplify right side
    522,336.40x = 200,697,255,882.24
  5. Step 5: Solve for x
    x = 200,697,255,882.24/522,336.40
  6. Step 6: Final answer
    x = 384,229.89

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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.