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Finding the Fourth Proportional to 311,596.16, 467,452.32 and 101,177.60

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Solution

The fourth proportional to 311,596.16, 467,452.32 and 101,177.60 is: 151,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,596.16 : 467,452.32 = 101,177.60 : x
  2. Step 2: Convert to fraction form
    311,596.16/467,452.32 = 101,177.60/x
  3. Step 3: Cross multiply
    311,596.16x = 467,452.32 × 101,177.60
  4. Step 4: Simplify right side
    311,596.16x = 47,295,703,852.03
  5. Step 5: Solve for x
    x = 47,295,703,852.03/311,596.16
  6. Step 6: Final answer
    x = 151,785.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.