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Finding the Fourth Proportional to 329,794.60, 494,028.50 and 249,969.10

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Solution

The fourth proportional to 329,794.60, 494,028.50 and 249,969.10 is: 374,450.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,794.60 : 494,028.50 = 249,969.10 : x
  2. Step 2: Convert to fraction form
    329,794.60/494,028.50 = 249,969.10/x
  3. Step 3: Cross multiply
    329,794.60x = 494,028.50 × 249,969.10
  4. Step 4: Simplify right side
    329,794.60x = 123,491,859,519.35
  5. Step 5: Solve for x
    x = 123,491,859,519.35/329,794.60
  6. Step 6: Final answer
    x = 374,450.82

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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.