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Finding the Fourth Proportional to 463,033.05, 694,600.62 and 147,416.55

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Solution

The fourth proportional to 463,033.05, 694,600.62 and 147,416.55 is: 221,141.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,033.05 : 694,600.62 = 147,416.55 : x
  2. Step 2: Convert to fraction form
    463,033.05/694,600.62 = 147,416.55/x
  3. Step 3: Cross multiply
    463,033.05x = 694,600.62 × 147,416.55
  4. Step 4: Simplify right side
    463,033.05x = 102,395,627,028.26
  5. Step 5: Solve for x
    x = 102,395,627,028.26/463,033.05
  6. Step 6: Final answer
    x = 221,141.08

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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.