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Finding the Fourth Proportional to 422,245.30, 633,475.95 and 297,829.30

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Solution

The fourth proportional to 422,245.30, 633,475.95 and 297,829.30 is: 446,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,245.30 : 633,475.95 = 297,829.30 : x
  2. Step 2: Convert to fraction form
    422,245.30/633,475.95 = 297,829.30/x
  3. Step 3: Cross multiply
    422,245.30x = 633,475.95 × 297,829.30
  4. Step 4: Simplify right side
    422,245.30x = 188,667,698,755.34
  5. Step 5: Solve for x
    x = 188,667,698,755.34/422,245.30
  6. Step 6: Final answer
    x = 446,820.13

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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.