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Finding the Fourth Proportional to 448,517.76, 671,843.52 and 212,049.60

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Solution

The fourth proportional to 448,517.76, 671,843.52 and 212,049.60 is: 317,633.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,517.76 : 671,843.52 = 212,049.60 : x
  2. Step 2: Convert to fraction form
    448,517.76/671,843.52 = 212,049.60/x
  3. Step 3: Cross multiply
    448,517.76x = 671,843.52 × 212,049.60
  4. Step 4: Simplify right side
    448,517.76x = 142,464,149,678.59
  5. Step 5: Solve for x
    x = 142,464,149,678.59/448,517.76
  6. Step 6: Final answer
    x = 317,633.24

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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.