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Finding the Fourth Proportional to 441,075.96, 661,653.41 and 171,197.78

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Solution

The fourth proportional to 441,075.96, 661,653.41 and 171,197.78 is: 256,811.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,075.96 : 661,653.41 = 171,197.78 : x
  2. Step 2: Convert to fraction form
    441,075.96/661,653.41 = 171,197.78/x
  3. Step 3: Cross multiply
    441,075.96x = 661,653.41 × 171,197.78
  4. Step 4: Simplify right side
    441,075.96x = 113,273,590,757.17
  5. Step 5: Solve for x
    x = 113,273,590,757.17/441,075.96
  6. Step 6: Final answer
    x = 256,811.98

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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.