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Finding the Fourth Proportional to 311,527.02, 467,290.54 and 98,316.54

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Solution

The fourth proportional to 311,527.02, 467,290.54 and 98,316.54 is: 147,474.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,527.02 : 467,290.54 = 98,316.54 : x
  2. Step 2: Convert to fraction form
    311,527.02/467,290.54 = 98,316.54/x
  3. Step 3: Cross multiply
    311,527.02x = 467,290.54 × 98,316.54
  4. Step 4: Simplify right side
    311,527.02x = 45,942,389,067.53
  5. Step 5: Solve for x
    x = 45,942,389,067.53/311,527.02
  6. Step 6: Final answer
    x = 147,474.81

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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.