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Finding the Fourth Proportional to 329,750.40, 494,625.60 and 282,511.20

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Solution

The fourth proportional to 329,750.40, 494,625.60 and 282,511.20 is: 423,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,750.40 : 494,625.60 = 282,511.20 : x
  2. Step 2: Convert to fraction form
    329,750.40/494,625.60 = 282,511.20/x
  3. Step 3: Cross multiply
    329,750.40x = 494,625.60 × 282,511.20
  4. Step 4: Simplify right side
    329,750.40x = 139,737,271,806.72
  5. Step 5: Solve for x
    x = 139,737,271,806.72/329,750.40
  6. Step 6: Final answer
    x = 423,766.80

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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.