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Finding the Fourth Proportional to 393,222.42, 589,736.42 and 168,557.40

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Solution

The fourth proportional to 393,222.42, 589,736.42 and 168,557.40 is: 252,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,222.42 : 589,736.42 = 168,557.40 : x
  2. Step 2: Convert to fraction form
    393,222.42/589,736.42 = 168,557.40/x
  3. Step 3: Cross multiply
    393,222.42x = 589,736.42 × 168,557.40
  4. Step 4: Simplify right side
    393,222.42x = 99,404,437,640.51
  5. Step 5: Solve for x
    x = 99,404,437,640.51/393,222.42
  6. Step 6: Final answer
    x = 252,794.43

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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.