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Finding the Fourth Proportional to 299,412.29, 449,353.07 and 208,866.05

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Solution

The fourth proportional to 299,412.29, 449,353.07 and 208,866.05 is: 313,462.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,412.29 : 449,353.07 = 208,866.05 : x
  2. Step 2: Convert to fraction form
    299,412.29/449,353.07 = 208,866.05/x
  3. Step 3: Cross multiply
    299,412.29x = 449,353.07 × 208,866.05
  4. Step 4: Simplify right side
    299,412.29x = 93,854,599,963.50
  5. Step 5: Solve for x
    x = 93,854,599,963.50/299,412.29
  6. Step 6: Final answer
    x = 313,462.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.