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Finding the Fourth Proportional to 335,694.70, 462,376.21 and 258,021.81

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Solution

The fourth proportional to 335,694.70, 462,376.21 and 258,021.81 is: 355,391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,694.70 : 462,376.21 = 258,021.81 : x
  2. Step 2: Convert to fraction form
    335,694.70/462,376.21 = 258,021.81/x
  3. Step 3: Cross multiply
    335,694.70x = 462,376.21 × 258,021.81
  4. Step 4: Simplify right side
    335,694.70x = 119,303,146,605.14
  5. Step 5: Solve for x
    x = 119,303,146,605.14/335,694.70
  6. Step 6: Final answer
    x = 355,391.81

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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.