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Finding the Fourth Proportional to 365,756.50, 548,136.60 and 205,908.67

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Solution

The fourth proportional to 365,756.50, 548,136.60 and 205,908.67 is: 308,582.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,756.50 : 548,136.60 = 205,908.67 : x
  2. Step 2: Convert to fraction form
    365,756.50/548,136.60 = 205,908.67/x
  3. Step 3: Cross multiply
    365,756.50x = 548,136.60 × 205,908.67
  4. Step 4: Simplify right side
    365,756.50x = 112,866,078,284.32
  5. Step 5: Solve for x
    x = 112,866,078,284.32/365,756.50
  6. Step 6: Final answer
    x = 308,582.56

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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.