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Finding the Fourth Proportional to 647,675.33, 971,577.81 and 198,391.01

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Solution

The fourth proportional to 647,675.33, 971,577.81 and 198,391.01 is: 297,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,675.33 : 971,577.81 = 198,391.01 : x
  2. Step 2: Convert to fraction form
    647,675.33/971,577.81 = 198,391.01/x
  3. Step 3: Cross multiply
    647,675.33x = 971,577.81 × 198,391.01
  4. Step 4: Simplify right side
    647,675.33x = 192,752,303,019.49
  5. Step 5: Solve for x
    x = 192,752,303,019.49/647,675.33
  6. Step 6: Final answer
    x = 297,606.37

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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.