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Finding the Fourth Proportional to 329,878.40, 494,817.60 and 251,146.40

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Solution

The fourth proportional to 329,878.40, 494,817.60 and 251,146.40 is: 376,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,878.40 : 494,817.60 = 251,146.40 : x
  2. Step 2: Convert to fraction form
    329,878.40/494,817.60 = 251,146.40/x
  3. Step 3: Cross multiply
    329,878.40x = 494,817.60 × 251,146.40
  4. Step 4: Simplify right side
    329,878.40x = 124,271,658,896.64
  5. Step 5: Solve for x
    x = 124,271,658,896.64/329,878.40
  6. Step 6: Final answer
    x = 376,719.60

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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.