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Finding the Fourth Proportional to 452,642.48, 678,959.40 and 275,198.48

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Solution

The fourth proportional to 452,642.48, 678,959.40 and 275,198.48 is: 412,795.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,642.48 : 678,959.40 = 275,198.48 : x
  2. Step 2: Convert to fraction form
    452,642.48/678,959.40 = 275,198.48/x
  3. Step 3: Cross multiply
    452,642.48x = 678,959.40 × 275,198.48
  4. Step 4: Simplify right side
    452,642.48x = 186,848,594,861.71
  5. Step 5: Solve for x
    x = 186,848,594,861.71/452,642.48
  6. Step 6: Final answer
    x = 412,795.09

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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.