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Finding the Fourth Proportional to 467,361.74, 701,205.42 and 147,562.94

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Solution

The fourth proportional to 467,361.74, 701,205.42 and 147,562.94 is: 221,395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,361.74 : 701,205.42 = 147,562.94 : x
  2. Step 2: Convert to fraction form
    467,361.74/701,205.42 = 147,562.94/x
  3. Step 3: Cross multiply
    467,361.74x = 701,205.42 × 147,562.94
  4. Step 4: Simplify right side
    467,361.74x = 103,471,933,319.14
  5. Step 5: Solve for x
    x = 103,471,933,319.14/467,361.74
  6. Step 6: Final answer
    x = 221,395.81

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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.