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Finding the Fourth Proportional to 415,775.73, 573,770.45 and 224,789.12

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Solution

The fourth proportional to 415,775.73, 573,770.45 and 224,789.12 is: 310,208.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,775.73 : 573,770.45 = 224,789.12 : x
  2. Step 2: Convert to fraction form
    415,775.73/573,770.45 = 224,789.12/x
  3. Step 3: Cross multiply
    415,775.73x = 573,770.45 × 224,789.12
  4. Step 4: Simplify right side
    415,775.73x = 128,977,354,847.99
  5. Step 5: Solve for x
    x = 128,977,354,847.99/415,775.73
  6. Step 6: Final answer
    x = 310,208.96

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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.