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Finding the Fourth Proportional to 299,211.30, 448,442.73 and 149,493.51

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Solution

The fourth proportional to 299,211.30, 448,442.73 and 149,493.51 is: 224,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,211.30 : 448,442.73 = 149,493.51 : x
  2. Step 2: Convert to fraction form
    299,211.30/448,442.73 = 149,493.51/x
  3. Step 3: Cross multiply
    299,211.30x = 448,442.73 × 149,493.51
  4. Step 4: Simplify right side
    299,211.30x = 67,039,277,741.68
  5. Step 5: Solve for x
    x = 67,039,277,741.68/299,211.30
  6. Step 6: Final answer
    x = 224,053.30

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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.