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Finding the Fourth Proportional to 324,274.38, 447,369.91 and 216,673.98

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Solution

The fourth proportional to 324,274.38, 447,369.91 and 216,673.98 is: 298,924.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,274.38 : 447,369.91 = 216,673.98 : x
  2. Step 2: Convert to fraction form
    324,274.38/447,369.91 = 216,673.98/x
  3. Step 3: Cross multiply
    324,274.38x = 447,369.91 × 216,673.98
  4. Step 4: Simplify right side
    324,274.38x = 96,933,418,931.94
  5. Step 5: Solve for x
    x = 96,933,418,931.94/324,274.38
  6. Step 6: Final answer
    x = 298,924.07

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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.