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Finding the Fourth Proportional to 365,310, 548,089.74 and 196,847.82

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Solution

The fourth proportional to 365,310, 548,089.74 and 196,847.82 is: 295,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,310 : 548,089.74 = 196,847.82 : x
  2. Step 2: Convert to fraction form
    365,310/548,089.74 = 196,847.82/x
  3. Step 3: Cross multiply
    365,310x = 548,089.74 × 196,847.82
  4. Step 4: Simplify right side
    365,310x = 107,890,270,483.37
  5. Step 5: Solve for x
    x = 107,890,270,483.37/365,310
  6. Step 6: Final answer
    x = 295,338.95

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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.