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Finding the Fourth Proportional to 299,765.30, 448,842.20 and 228,347.72

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Solution

The fourth proportional to 299,765.30, 448,842.20 and 228,347.72 is: 341,907.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,765.30 : 448,842.20 = 228,347.72 : x
  2. Step 2: Convert to fraction form
    299,765.30/448,842.20 = 228,347.72/x
  3. Step 3: Cross multiply
    299,765.30x = 448,842.20 × 228,347.72
  4. Step 4: Simplify right side
    299,765.30x = 102,492,093,233.68
  5. Step 5: Solve for x
    x = 102,492,093,233.68/299,765.30
  6. Step 6: Final answer
    x = 341,907.79

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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.