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Finding the Fourth Proportional to 448,641.84, 673,083.72 and 149,170.80

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Solution

The fourth proportional to 448,641.84, 673,083.72 and 149,170.80 is: 223,796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,641.84 : 673,083.72 = 149,170.80 : x
  2. Step 2: Convert to fraction form
    448,641.84/673,083.72 = 149,170.80/x
  3. Step 3: Cross multiply
    448,641.84x = 673,083.72 × 149,170.80
  4. Step 4: Simplify right side
    448,641.84x = 100,404,436,979.38
  5. Step 5: Solve for x
    x = 100,404,436,979.38/448,641.84
  6. Step 6: Final answer
    x = 223,796.42

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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.