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Finding the Fourth Proportional to 299,306.52, 449,041.78 and 149,365.80

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Solution

The fourth proportional to 299,306.52, 449,041.78 and 149,365.80 is: 224,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,306.52 : 449,041.78 = 149,365.80 : x
  2. Step 2: Convert to fraction form
    299,306.52/449,041.78 = 149,365.80/x
  3. Step 3: Cross multiply
    299,306.52x = 449,041.78 × 149,365.80
  4. Step 4: Simplify right side
    299,306.52x = 67,071,484,703.12
  5. Step 5: Solve for x
    x = 67,071,484,703.12/299,306.52
  6. Step 6: Final answer
    x = 224,089.62

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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.