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Finding the Fourth Proportional to 329,570.40, 494,938.80 and 254,872.20

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Solution

The fourth proportional to 329,570.40, 494,938.80 and 254,872.20 is: 382,759.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,570.40 : 494,938.80 = 254,872.20 : x
  2. Step 2: Convert to fraction form
    329,570.40/494,938.80 = 254,872.20/x
  3. Step 3: Cross multiply
    329,570.40x = 494,938.80 × 254,872.20
  4. Step 4: Simplify right side
    329,570.40x = 126,146,140,821.36
  5. Step 5: Solve for x
    x = 126,146,140,821.36/329,570.40
  6. Step 6: Final answer
    x = 382,759.32

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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.