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Finding the Fourth Proportional to 273,431.70, 410,147.55 and 251,780.40

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Solution

The fourth proportional to 273,431.70, 410,147.55 and 251,780.40 is: 377,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,431.70 : 410,147.55 = 251,780.40 : x
  2. Step 2: Convert to fraction form
    273,431.70/410,147.55 = 251,780.40/x
  3. Step 3: Cross multiply
    273,431.70x = 410,147.55 × 251,780.40
  4. Step 4: Simplify right side
    273,431.70x = 103,267,114,198.02
  5. Step 5: Solve for x
    x = 103,267,114,198.02/273,431.70
  6. Step 6: Final answer
    x = 377,670.60

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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.