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Finding the Fourth Proportional to 297,943.51, 446,774.78 and 108,270.47

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Solution

The fourth proportional to 297,943.51, 446,774.78 and 108,270.47 is: 162,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,943.51 : 446,774.78 = 108,270.47 : x
  2. Step 2: Convert to fraction form
    297,943.51/446,774.78 = 108,270.47/x
  3. Step 3: Cross multiply
    297,943.51x = 446,774.78 × 108,270.47
  4. Step 4: Simplify right side
    297,943.51x = 48,372,515,414.75
  5. Step 5: Solve for x
    x = 48,372,515,414.75/297,943.51
  6. Step 6: Final answer
    x = 162,354.65

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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.