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Finding the Fourth Proportional to 472,998.46, 709,719.12 and 206,724.37

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Solution

The fourth proportional to 472,998.46, 709,719.12 and 206,724.37 is: 310,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,998.46 : 709,719.12 = 206,724.37 : x
  2. Step 2: Convert to fraction form
    472,998.46/709,719.12 = 206,724.37/x
  3. Step 3: Cross multiply
    472,998.46x = 709,719.12 × 206,724.37
  4. Step 4: Simplify right side
    472,998.46x = 146,716,237,442.14
  5. Step 5: Solve for x
    x = 146,716,237,442.14/472,998.46
  6. Step 6: Final answer
    x = 310,183.33

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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.