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Finding the Fourth Proportional to 437,076.80, 655,874.40 and 287,745.20

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Solution

The fourth proportional to 437,076.80, 655,874.40 and 287,745.20 is: 431,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,076.80 : 655,874.40 = 287,745.20 : x
  2. Step 2: Convert to fraction form
    437,076.80/655,874.40 = 287,745.20/x
  3. Step 3: Cross multiply
    437,076.80x = 655,874.40 × 287,745.20
  4. Step 4: Simplify right side
    437,076.80x = 188,724,710,402.88
  5. Step 5: Solve for x
    x = 188,724,710,402.88/437,076.80
  6. Step 6: Final answer
    x = 431,788.44

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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.