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Finding the Fourth Proportional to 305,237.89, 421,337.33 and 208,372.42

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Solution

The fourth proportional to 305,237.89, 421,337.33 and 208,372.42 is: 287,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,237.89 : 421,337.33 = 208,372.42 : x
  2. Step 2: Convert to fraction form
    305,237.89/421,337.33 = 208,372.42/x
  3. Step 3: Cross multiply
    305,237.89x = 421,337.33 × 208,372.42
  4. Step 4: Simplify right side
    305,237.89x = 87,795,079,088.44
  5. Step 5: Solve for x
    x = 87,795,079,088.44/305,237.89
  6. Step 6: Final answer
    x = 287,628.38

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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.