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Finding the Fourth Proportional to 547,900.70, 821,267.85 and 210,811.10

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Solution

The fourth proportional to 547,900.70, 821,267.85 and 210,811.10 is: 315,992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,900.70 : 821,267.85 = 210,811.10 : x
  2. Step 2: Convert to fraction form
    547,900.70/821,267.85 = 210,811.10/x
  3. Step 3: Cross multiply
    547,900.70x = 821,267.85 × 210,811.10
  4. Step 4: Simplify right side
    547,900.70x = 173,132,378,853.14
  5. Step 5: Solve for x
    x = 173,132,378,853.14/547,900.70
  6. Step 6: Final answer
    x = 315,992.26

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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.