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Finding the Fourth Proportional to 311,933.49, 467,900.13 and 122,483.01

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Solution

The fourth proportional to 311,933.49, 467,900.13 and 122,483.01 is: 183,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,933.49 : 467,900.13 = 122,483.01 : x
  2. Step 2: Convert to fraction form
    311,933.49/467,900.13 = 122,483.01/x
  3. Step 3: Cross multiply
    311,933.49x = 467,900.13 × 122,483.01
  4. Step 4: Simplify right side
    311,933.49x = 57,309,816,301.79
  5. Step 5: Solve for x
    x = 57,309,816,301.79/311,933.49
  6. Step 6: Final answer
    x = 183,724.47

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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.