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Finding the Fourth Proportional to 452,072.36, 678,328.86 and 185,912.84

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Solution

The fourth proportional to 452,072.36, 678,328.86 and 185,912.84 is: 278,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,072.36 : 678,328.86 = 185,912.84 : x
  2. Step 2: Convert to fraction form
    452,072.36/678,328.86 = 185,912.84/x
  3. Step 3: Cross multiply
    452,072.36x = 678,328.86 × 185,912.84
  4. Step 4: Simplify right side
    452,072.36x = 126,110,044,816.56
  5. Step 5: Solve for x
    x = 126,110,044,816.56/452,072.36
  6. Step 6: Final answer
    x = 278,959.87

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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.