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Finding the Fourth Proportional to 537,137.60, 804,734.40 and 256,035.20

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Solution

The fourth proportional to 537,137.60, 804,734.40 and 256,035.20 is: 383,589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,137.60 : 804,734.40 = 256,035.20 : x
  2. Step 2: Convert to fraction form
    537,137.60/804,734.40 = 256,035.20/x
  3. Step 3: Cross multiply
    537,137.60x = 804,734.40 × 256,035.20
  4. Step 4: Simplify right side
    537,137.60x = 206,040,333,050.88
  5. Step 5: Solve for x
    x = 206,040,333,050.88/537,137.60
  6. Step 6: Final answer
    x = 383,589.48

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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.