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Finding the Fourth Proportional to 297,674.79, 410,564.87 and 205,946.69

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Solution

The fourth proportional to 297,674.79, 410,564.87 and 205,946.69 is: 284,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,674.79 : 410,564.87 = 205,946.69 : x
  2. Step 2: Convert to fraction form
    297,674.79/410,564.87 = 205,946.69/x
  3. Step 3: Cross multiply
    297,674.79x = 410,564.87 × 205,946.69
  4. Step 4: Simplify right side
    297,674.79x = 84,554,477,548.06
  5. Step 5: Solve for x
    x = 84,554,477,548.06/297,674.79
  6. Step 6: Final answer
    x = 284,049.84

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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.