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Finding the Fourth Proportional to 340,898.20, 511,577.70 and 191,138.20

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Solution

The fourth proportional to 340,898.20, 511,577.70 and 191,138.20 is: 286,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,898.20 : 511,577.70 = 191,138.20 : x
  2. Step 2: Convert to fraction form
    340,898.20/511,577.70 = 191,138.20/x
  3. Step 3: Cross multiply
    340,898.20x = 511,577.70 × 191,138.20
  4. Step 4: Simplify right side
    340,898.20x = 97,782,040,738.14
  5. Step 5: Solve for x
    x = 97,782,040,738.14/340,898.20
  6. Step 6: Final answer
    x = 286,836.48

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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.