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Finding the Fourth Proportional to 463,065.34, 694,647.82 and 147,448.42

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Solution

The fourth proportional to 463,065.34, 694,647.82 and 147,448.42 is: 221,188.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,065.34 : 694,647.82 = 147,448.42 : x
  2. Step 2: Convert to fraction form
    463,065.34/694,647.82 = 147,448.42/x
  3. Step 3: Cross multiply
    463,065.34x = 694,647.82 × 147,448.42
  4. Step 4: Simplify right side
    463,065.34x = 102,424,723,515.44
  5. Step 5: Solve for x
    x = 102,424,723,515.44/463,065.34
  6. Step 6: Final answer
    x = 221,188.49

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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.