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Finding the Fourth Proportional to 382,014.40, 571,855.20 and 298,033.60

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Solution

The fourth proportional to 382,014.40, 571,855.20 and 298,033.60 is: 446,140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,014.40 : 571,855.20 = 298,033.60 : x
  2. Step 2: Convert to fraction form
    382,014.40/571,855.20 = 298,033.60/x
  3. Step 3: Cross multiply
    382,014.40x = 571,855.20 × 298,033.60
  4. Step 4: Simplify right side
    382,014.40x = 170,432,063,934.72
  5. Step 5: Solve for x
    x = 170,432,063,934.72/382,014.40
  6. Step 6: Final answer
    x = 446,140.42

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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.