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Finding the Fourth Proportional to 547,896.12, 822,062.14 and 210,846.28

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Solution

The fourth proportional to 547,896.12, 822,062.14 and 210,846.28 is: 316,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,896.12 : 822,062.14 = 210,846.28 : x
  2. Step 2: Convert to fraction form
    547,896.12/822,062.14 = 210,846.28/x
  3. Step 3: Cross multiply
    547,896.12x = 822,062.14 × 210,846.28
  4. Step 4: Simplify right side
    547,896.12x = 173,328,744,147.84
  5. Step 5: Solve for x
    x = 173,328,744,147.84/547,896.12
  6. Step 6: Final answer
    x = 316,353.30

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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.