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Finding the Fourth Proportional to 298,538.40, 448,052.40 and 296,205.60

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Solution

The fourth proportional to 298,538.40, 448,052.40 and 296,205.60 is: 444,551.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,538.40 : 448,052.40 = 296,205.60 : x
  2. Step 2: Convert to fraction form
    298,538.40/448,052.40 = 296,205.60/x
  3. Step 3: Cross multiply
    298,538.40x = 448,052.40 × 296,205.60
  4. Step 4: Simplify right side
    298,538.40x = 132,715,629,973.44
  5. Step 5: Solve for x
    x = 132,715,629,973.44/298,538.40
  6. Step 6: Final answer
    x = 444,551.29

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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.