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Finding the Fourth Proportional to 456,286.84, 629,677.30 and 255,082.84

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Solution

The fourth proportional to 456,286.84, 629,677.30 and 255,082.84 is: 352,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,286.84 : 629,677.30 = 255,082.84 : x
  2. Step 2: Convert to fraction form
    456,286.84/629,677.30 = 255,082.84/x
  3. Step 3: Cross multiply
    456,286.84x = 629,677.30 × 255,082.84
  4. Step 4: Simplify right side
    456,286.84x = 160,619,873,967.53
  5. Step 5: Solve for x
    x = 160,619,873,967.53/456,286.84
  6. Step 6: Final answer
    x = 352,015.14

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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.