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Finding the Fourth Proportional to 524,638, 786,964.02 and 164,797.12

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Solution

The fourth proportional to 524,638, 786,964.02 and 164,797.12 is: 247,197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,638 : 786,964.02 = 164,797.12 : x
  2. Step 2: Convert to fraction form
    524,638/786,964.02 = 164,797.12/x
  3. Step 3: Cross multiply
    524,638x = 786,964.02 × 164,797.12
  4. Step 4: Simplify right side
    524,638x = 129,689,404,039.62
  5. Step 5: Solve for x
    x = 129,689,404,039.62/524,638
  6. Step 6: Final answer
    x = 247,197.89

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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.