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Finding the Fourth Proportional to 448,014.36, 671,788.22 and 211,293.48

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Solution

The fourth proportional to 448,014.36, 671,788.22 and 211,293.48 is: 316,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,014.36 : 671,788.22 = 211,293.48 : x
  2. Step 2: Convert to fraction form
    448,014.36/671,788.22 = 211,293.48/x
  3. Step 3: Cross multiply
    448,014.36x = 671,788.22 × 211,293.48
  4. Step 4: Simplify right side
    448,014.36x = 141,944,469,770.34
  5. Step 5: Solve for x
    x = 141,944,469,770.34/448,014.36
  6. Step 6: Final answer
    x = 316,830.18

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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.