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Finding the Fourth Proportional to 364,034.80, 545,922.60 and 164,450.80

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Solution

The fourth proportional to 364,034.80, 545,922.60 and 164,450.80 is: 246,617.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,034.80 : 545,922.60 = 164,450.80 : x
  2. Step 2: Convert to fraction form
    364,034.80/545,922.60 = 164,450.80/x
  3. Step 3: Cross multiply
    364,034.80x = 545,922.60 × 164,450.80
  4. Step 4: Simplify right side
    364,034.80x = 89,777,408,308.08
  5. Step 5: Solve for x
    x = 89,777,408,308.08/364,034.80
  6. Step 6: Final answer
    x = 246,617.65

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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.