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Finding the Fourth Proportional to 415,227.94, 573,014.52 and 224,241.30

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Solution

The fourth proportional to 415,227.94, 573,014.52 and 224,241.30 is: 309,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,227.94 : 573,014.52 = 224,241.30 : x
  2. Step 2: Convert to fraction form
    415,227.94/573,014.52 = 224,241.30/x
  3. Step 3: Cross multiply
    415,227.94x = 573,014.52 × 224,241.30
  4. Step 4: Simplify right side
    415,227.94x = 128,493,520,883.68
  5. Step 5: Solve for x
    x = 128,493,520,883.68/415,227.94
  6. Step 6: Final answer
    x = 309,452.98

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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.