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Finding the Fourth Proportional to 329,454, 494,192.88 and 92,817.36

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Solution

The fourth proportional to 329,454, 494,192.88 and 92,817.36 is: 139,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,454 : 494,192.88 = 92,817.36 : x
  2. Step 2: Convert to fraction form
    329,454/494,192.88 = 92,817.36/x
  3. Step 3: Cross multiply
    329,454x = 494,192.88 × 92,817.36
  4. Step 4: Simplify right side
    329,454x = 45,869,678,452.40
  5. Step 5: Solve for x
    x = 45,869,678,452.40/329,454
  6. Step 6: Final answer
    x = 139,229.39

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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.