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Finding the Fourth Proportional to 449,820.32, 674,205.87 and 165,296.48

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Solution

The fourth proportional to 449,820.32, 674,205.87 and 165,296.48 is: 247,751.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,820.32 : 674,205.87 = 165,296.48 : x
  2. Step 2: Convert to fraction form
    449,820.32/674,205.87 = 165,296.48/x
  3. Step 3: Cross multiply
    449,820.32x = 674,205.87 × 165,296.48
  4. Step 4: Simplify right side
    449,820.32x = 111,443,857,106.34
  5. Step 5: Solve for x
    x = 111,443,857,106.34/449,820.32
  6. Step 6: Final answer
    x = 247,751.94

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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.