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Finding the Fourth Proportional to 337,708.29, 465,936.93 and 194,464.65

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Solution

The fourth proportional to 337,708.29, 465,936.93 and 194,464.65 is: 268,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,708.29 : 465,936.93 = 194,464.65 : x
  2. Step 2: Convert to fraction form
    337,708.29/465,936.93 = 194,464.65/x
  3. Step 3: Cross multiply
    337,708.29x = 465,936.93 × 194,464.65
  4. Step 4: Simplify right side
    337,708.29x = 90,608,262,014.52
  5. Step 5: Solve for x
    x = 90,608,262,014.52/337,708.29
  6. Step 6: Final answer
    x = 268,303.34

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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.