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Finding the Fourth Proportional to 463,074.66, 694,604.70 and 147,529.44

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Solution

The fourth proportional to 463,074.66, 694,604.70 and 147,529.44 is: 221,291.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,074.66 : 694,604.70 = 147,529.44 : x
  2. Step 2: Convert to fraction form
    463,074.66/694,604.70 = 147,529.44/x
  3. Step 3: Cross multiply
    463,074.66x = 694,604.70 × 147,529.44
  4. Step 4: Simplify right side
    463,074.66x = 102,474,642,412.37
  5. Step 5: Solve for x
    x = 102,474,642,412.37/463,074.66
  6. Step 6: Final answer
    x = 221,291.84

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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.