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Finding the Fourth Proportional to 311,853.27, 467,837.60 and 98,674.85

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Solution

The fourth proportional to 311,853.27, 467,837.60 and 98,674.85 is: 148,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,853.27 : 467,837.60 = 98,674.85 : x
  2. Step 2: Convert to fraction form
    311,853.27/467,837.60 = 98,674.85/x
  3. Step 3: Cross multiply
    311,853.27x = 467,837.60 × 98,674.85
  4. Step 4: Simplify right side
    311,853.27x = 46,163,805,680.58
  5. Step 5: Solve for x
    x = 46,163,805,680.58/311,853.27
  6. Step 6: Final answer
    x = 148,030.53

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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.