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Finding the Fourth Proportional to 481,523.46, 664,323.93 and 311,851.14

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Solution

The fourth proportional to 481,523.46, 664,323.93 and 311,851.14 is: 430,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,523.46 : 664,323.93 = 311,851.14 : x
  2. Step 2: Convert to fraction form
    481,523.46/664,323.93 = 311,851.14/x
  3. Step 3: Cross multiply
    481,523.46x = 664,323.93 × 311,851.14
  4. Step 4: Simplify right side
    481,523.46x = 207,170,174,899.78
  5. Step 5: Solve for x
    x = 207,170,174,899.78/481,523.46
  6. Step 6: Final answer
    x = 430,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.