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Finding the Fourth Proportional to 334,429, 461,361.30 and 198,468.67

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Solution

The fourth proportional to 334,429, 461,361.30 and 198,468.67 is: 273,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,429 : 461,361.30 = 198,468.67 : x
  2. Step 2: Convert to fraction form
    334,429/461,361.30 = 198,468.67/x
  3. Step 3: Cross multiply
    334,429x = 461,361.30 × 198,468.67
  4. Step 4: Simplify right side
    334,429x = 91,565,763,600.47
  5. Step 5: Solve for x
    x = 91,565,763,600.47/334,429
  6. Step 6: Final answer
    x = 273,797.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.