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Finding the Fourth Proportional to 547,768.70, 821,653.05 and 547,768.70

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Solution

The fourth proportional to 547,768.70, 821,653.05 and 547,768.70 is: 821,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,768.70 : 821,653.05 = 547,768.70 : x
  2. Step 2: Convert to fraction form
    547,768.70/821,653.05 = 547,768.70/x
  3. Step 3: Cross multiply
    547,768.70x = 821,653.05 × 547,768.70
  4. Step 4: Simplify right side
    547,768.70x = 450,075,823,049.54
  5. Step 5: Solve for x
    x = 450,075,823,049.54/547,768.70
  6. Step 6: Final answer
    x = 821,653.05

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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.