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Finding the Fourth Proportional to 398,019.65, 597,274.22 and 158,091.57

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Solution

The fourth proportional to 398,019.65, 597,274.22 and 158,091.57 is: 237,234.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,019.65 : 597,274.22 = 158,091.57 : x
  2. Step 2: Convert to fraction form
    398,019.65/597,274.22 = 158,091.57/x
  3. Step 3: Cross multiply
    398,019.65x = 597,274.22 × 158,091.57
  4. Step 4: Simplify right side
    398,019.65x = 94,424,019,555.55
  5. Step 5: Solve for x
    x = 94,424,019,555.55/398,019.65
  6. Step 6: Final answer
    x = 237,234.57

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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.