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Finding the Fourth Proportional to 2,087,775, 3,131,662.50 and 511,839

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Solution

The fourth proportional to 2,087,775, 3,131,662.50 and 511,839 is: 767,758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087,775 : 3,131,662.50 = 511,839 : x
  2. Step 2: Convert to fraction form
    2,087,775/3,131,662.50 = 511,839/x
  3. Step 3: Cross multiply
    2,087,775x = 3,131,662.50 × 511,839
  4. Step 4: Simplify right side
    2,087,775x = 1,602,907,002,337.50
  5. Step 5: Solve for x
    x = 1,602,907,002,337.50/2,087,775
  6. Step 6: Final answer
    x = 767,758.50

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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.