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Finding the Fourth Proportional to 304,626, 419,632.74 and 259,158.36

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Solution

The fourth proportional to 304,626, 419,632.74 and 259,158.36 is: 356,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,626 : 419,632.74 = 259,158.36 : x
  2. Step 2: Convert to fraction form
    304,626/419,632.74 = 259,158.36/x
  3. Step 3: Cross multiply
    304,626x = 419,632.74 × 259,158.36
  4. Step 4: Simplify right side
    304,626x = 108,751,332,700.71
  5. Step 5: Solve for x
    x = 108,751,332,700.71/304,626
  6. Step 6: Final answer
    x = 356,999.51

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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.