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Finding the Fourth Proportional to 311,349.84, 467,090.37 and 100,971.38

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Solution

The fourth proportional to 311,349.84, 467,090.37 and 100,971.38 is: 151,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,349.84 : 467,090.37 = 100,971.38 : x
  2. Step 2: Convert to fraction form
    311,349.84/467,090.37 = 100,971.38/x
  3. Step 3: Cross multiply
    311,349.84x = 467,090.37 × 100,971.38
  4. Step 4: Simplify right side
    311,349.84x = 47,162,756,908.16
  5. Step 5: Solve for x
    x = 47,162,756,908.16/311,349.84
  6. Step 6: Final answer
    x = 151,478.34

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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.