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Finding the Fourth Proportional to 311,266.93, 467,046.21 and 153,409.27

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Solution

The fourth proportional to 311,266.93, 467,046.21 and 153,409.27 is: 230,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,266.93 : 467,046.21 = 153,409.27 : x
  2. Step 2: Convert to fraction form
    311,266.93/467,046.21 = 153,409.27/x
  3. Step 3: Cross multiply
    311,266.93x = 467,046.21 × 153,409.27
  4. Step 4: Simplify right side
    311,266.93x = 71,649,218,132.37
  5. Step 5: Solve for x
    x = 71,649,218,132.37/311,266.93
  6. Step 6: Final answer
    x = 230,185.77

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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.