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Finding the Fourth Proportional to 522,105.80, 783,158.70 and 256,385.30

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Solution

The fourth proportional to 522,105.80, 783,158.70 and 256,385.30 is: 384,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,105.80 : 783,158.70 = 256,385.30 : x
  2. Step 2: Convert to fraction form
    522,105.80/783,158.70 = 256,385.30/x
  3. Step 3: Cross multiply
    522,105.80x = 783,158.70 × 256,385.30
  4. Step 4: Simplify right side
    522,105.80x = 200,790,378,247.11
  5. Step 5: Solve for x
    x = 200,790,378,247.11/522,105.80
  6. Step 6: Final answer
    x = 384,577.95

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Similar ratio
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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.