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Finding the Fourth Proportional to 447,969.82, 671,937.90 and 111,011.44

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Solution

The fourth proportional to 447,969.82, 671,937.90 and 111,011.44 is: 166,512.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,969.82 : 671,937.90 = 111,011.44 : x
  2. Step 2: Convert to fraction form
    447,969.82/671,937.90 = 111,011.44/x
  3. Step 3: Cross multiply
    447,969.82x = 671,937.90 × 111,011.44
  4. Step 4: Simplify right side
    447,969.82x = 74,592,793,869.58
  5. Step 5: Solve for x
    x = 74,592,793,869.58/447,969.82
  6. Step 6: Final answer
    x = 166,512.99

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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.