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Finding the Fourth Proportional to 289,367.26, 433,525.95 and 213,653.32

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Solution

The fourth proportional to 289,367.26, 433,525.95 and 213,653.32 is: 320,092.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,367.26 : 433,525.95 = 213,653.32 : x
  2. Step 2: Convert to fraction form
    289,367.26/433,525.95 = 213,653.32/x
  3. Step 3: Cross multiply
    289,367.26x = 433,525.95 × 213,653.32
  4. Step 4: Simplify right side
    289,367.26x = 92,624,258,523.65
  5. Step 5: Solve for x
    x = 92,624,258,523.65/289,367.26
  6. Step 6: Final answer
    x = 320,092.39

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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.