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Finding the Fourth Proportional to 322,274.14, 483,245.16 and 144,628.84

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Solution

The fourth proportional to 322,274.14, 483,245.16 and 144,628.84 is: 216,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,274.14 : 483,245.16 = 144,628.84 : x
  2. Step 2: Convert to fraction form
    322,274.14/483,245.16 = 144,628.84/x
  3. Step 3: Cross multiply
    322,274.14x = 483,245.16 × 144,628.84
  4. Step 4: Simplify right side
    322,274.14x = 69,891,186,926.41
  5. Step 5: Solve for x
    x = 69,891,186,926.41/322,274.14
  6. Step 6: Final answer
    x = 216,868.74

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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.