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Finding the Fourth Proportional to 329,984.82, 455,385.87 and 186,744.84

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Solution

The fourth proportional to 329,984.82, 455,385.87 and 186,744.84 is: 257,711.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,984.82 : 455,385.87 = 186,744.84 : x
  2. Step 2: Convert to fraction form
    329,984.82/455,385.87 = 186,744.84/x
  3. Step 3: Cross multiply
    329,984.82x = 455,385.87 × 186,744.84
  4. Step 4: Simplify right side
    329,984.82x = 85,040,961,431.41
  5. Step 5: Solve for x
    x = 85,040,961,431.41/329,984.82
  6. Step 6: Final answer
    x = 257,711.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.