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Finding the Fourth Proportional to 466,496.80, 699,226.80 and 256,285.60

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Solution

The fourth proportional to 466,496.80, 699,226.80 and 256,285.60 is: 384,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,496.80 : 699,226.80 = 256,285.60 : x
  2. Step 2: Convert to fraction form
    466,496.80/699,226.80 = 256,285.60/x
  3. Step 3: Cross multiply
    466,496.80x = 699,226.80 × 256,285.60
  4. Step 4: Simplify right side
    466,496.80x = 179,201,759,974.08
  5. Step 5: Solve for x
    x = 179,201,759,974.08/466,496.80
  6. Step 6: Final answer
    x = 384,143.60

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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.