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Finding the Fourth Proportional to 311,301.44, 466,228.10 and 300,513.81

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Solution

The fourth proportional to 311,301.44, 466,228.10 and 300,513.81 is: 450,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,301.44 : 466,228.10 = 300,513.81 : x
  2. Step 2: Convert to fraction form
    311,301.44/466,228.10 = 300,513.81/x
  3. Step 3: Cross multiply
    311,301.44x = 466,228.10 × 300,513.81
  4. Step 4: Simplify right side
    311,301.44x = 140,107,982,660.06
  5. Step 5: Solve for x
    x = 140,107,982,660.06/311,301.44
  6. Step 6: Final answer
    x = 450,071.75

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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.