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Finding the Fourth Proportional to 299,306.26, 449,041.40 and 149,365.54

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Solution

The fourth proportional to 299,306.26, 449,041.40 and 149,365.54 is: 224,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.26 : 449,041.40 = 149,365.54 : x
  2. Step 2: Convert to fraction form
    299,306.26/449,041.40 = 149,365.54/x
  3. Step 3: Cross multiply
    299,306.26x = 449,041.40 × 149,365.54
  4. Step 4: Simplify right side
    299,306.26x = 67,071,311,193.36
  5. Step 5: Solve for x
    x = 67,071,311,193.36/299,306.26
  6. Step 6: Final answer
    x = 224,089.24

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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.