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Finding the Fourth Proportional to 537,000.20, 804,809.10 and 326,414.60

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Solution

The fourth proportional to 537,000.20, 804,809.10 and 326,414.60 is: 489,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,000.20 : 804,809.10 = 326,414.60 : x
  2. Step 2: Convert to fraction form
    537,000.20/804,809.10 = 326,414.60/x
  3. Step 3: Cross multiply
    537,000.20x = 804,809.10 × 326,414.60
  4. Step 4: Simplify right side
    537,000.20x = 262,701,440,452.86
  5. Step 5: Solve for x
    x = 262,701,440,452.86/537,000.20
  6. Step 6: Final answer
    x = 489,201.76

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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.