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Finding the Fourth Proportional to 311,033.58, 466,272.54 and 121,449.84

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Solution

The fourth proportional to 311,033.58, 466,272.54 and 121,449.84 is: 182,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,033.58 : 466,272.54 = 121,449.84 : x
  2. Step 2: Convert to fraction form
    311,033.58/466,272.54 = 121,449.84/x
  3. Step 3: Cross multiply
    311,033.58x = 466,272.54 × 121,449.84
  4. Step 4: Simplify right side
    311,033.58x = 56,628,727,583.35
  5. Step 5: Solve for x
    x = 56,628,727,583.35/311,033.58
  6. Step 6: Final answer
    x = 182,066.28

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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.