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Finding the Fourth Proportional to 325,222.40, 486,913.44 and 206,599.52

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Solution

The fourth proportional to 325,222.40, 486,913.44 and 206,599.52 is: 309,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,222.40 : 486,913.44 = 206,599.52 : x
  2. Step 2: Convert to fraction form
    325,222.40/486,913.44 = 206,599.52/x
  3. Step 3: Cross multiply
    325,222.40x = 486,913.44 × 206,599.52
  4. Step 4: Simplify right side
    325,222.40x = 100,596,082,985.55
  5. Step 5: Solve for x
    x = 100,596,082,985.55/325,222.40
  6. Step 6: Final answer
    x = 309,314.74

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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.