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Finding the Fourth Proportional to 299,416.86, 449,359.91 and 208,870.62

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Solution

The fourth proportional to 299,416.86, 449,359.91 and 208,870.62 is: 313,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,416.86 : 449,359.91 = 208,870.62 : x
  2. Step 2: Convert to fraction form
    299,416.86/449,359.91 = 208,870.62/x
  3. Step 3: Cross multiply
    299,416.86x = 449,359.91 × 208,870.62
  4. Step 4: Simplify right side
    299,416.86x = 93,858,083,004.84
  5. Step 5: Solve for x
    x = 93,858,083,004.84/299,416.86
  6. Step 6: Final answer
    x = 313,469.60

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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.