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Finding the Fourth Proportional to 340,647.06, 510,488.78 and 188,911.30

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Solution

The fourth proportional to 340,647.06, 510,488.78 and 188,911.30 is: 283,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,647.06 : 510,488.78 = 188,911.30 : x
  2. Step 2: Convert to fraction form
    340,647.06/510,488.78 = 188,911.30/x
  3. Step 3: Cross multiply
    340,647.06x = 510,488.78 × 188,911.30
  4. Step 4: Simplify right side
    340,647.06x = 96,437,099,065.21
  5. Step 5: Solve for x
    x = 96,437,099,065.21/340,647.06
  6. Step 6: Final answer
    x = 283,099.75

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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.