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Finding the Fourth Proportional to 415,286.30, 573,137.61 and 254,247.77

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Solution

The fourth proportional to 415,286.30, 573,137.61 and 254,247.77 is: 350,887.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,286.30 : 573,137.61 = 254,247.77 : x
  2. Step 2: Convert to fraction form
    415,286.30/573,137.61 = 254,247.77/x
  3. Step 3: Cross multiply
    415,286.30x = 573,137.61 × 254,247.77
  4. Step 4: Simplify right side
    415,286.30x = 145,718,959,245.63
  5. Step 5: Solve for x
    x = 145,718,959,245.63/415,286.30
  6. Step 6: Final answer
    x = 350,887.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.