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Finding the Fourth Proportional to 468,019.28, 701,464.95 and 214,950.57

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Solution

The fourth proportional to 468,019.28, 701,464.95 and 214,950.57 is: 322,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,019.28 : 701,464.95 = 214,950.57 : x
  2. Step 2: Convert to fraction form
    468,019.28/701,464.95 = 214,950.57/x
  3. Step 3: Cross multiply
    468,019.28x = 701,464.95 × 214,950.57
  4. Step 4: Simplify right side
    468,019.28x = 150,780,290,837.52
  5. Step 5: Solve for x
    x = 150,780,290,837.52/468,019.28
  6. Step 6: Final answer
    x = 322,166.84

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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.