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Finding the Fourth Proportional to 299,072.30, 448,477.19 and 111,952.58

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Solution

The fourth proportional to 299,072.30, 448,477.19 and 111,952.58 is: 167,879.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,072.30 : 448,477.19 = 111,952.58 : x
  2. Step 2: Convert to fraction form
    299,072.30/448,477.19 = 111,952.58/x
  3. Step 3: Cross multiply
    299,072.30x = 448,477.19 × 111,952.58
  4. Step 4: Simplify right side
    299,072.30x = 50,208,178,491.65
  5. Step 5: Solve for x
    x = 50,208,178,491.65/299,072.30
  6. Step 6: Final answer
    x = 167,879.74

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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.