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Finding the Fourth Proportional to 311,647.71, 467,886.29 and 164,007.39

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Solution

The fourth proportional to 311,647.71, 467,886.29 and 164,007.39 is: 246,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,647.71 : 467,886.29 = 164,007.39 : x
  2. Step 2: Convert to fraction form
    311,647.71/467,886.29 = 164,007.39/x
  3. Step 3: Cross multiply
    311,647.71x = 467,886.29 × 164,007.39
  4. Step 4: Simplify right side
    311,647.71x = 76,736,808,419.65
  5. Step 5: Solve for x
    x = 76,736,808,419.65/311,647.71
  6. Step 6: Final answer
    x = 246,229.34

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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.