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Finding the Fourth Proportional to 298,043.71, 412,383.41 and 259,882.84

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Solution

The fourth proportional to 298,043.71, 412,383.41 and 259,882.84 is: 359,582.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,043.71 : 412,383.41 = 259,882.84 : x
  2. Step 2: Convert to fraction form
    298,043.71/412,383.41 = 259,882.84/x
  3. Step 3: Cross multiply
    298,043.71x = 412,383.41 × 259,882.84
  4. Step 4: Simplify right side
    298,043.71x = 107,171,371,378.43
  5. Step 5: Solve for x
    x = 107,171,371,378.43/298,043.71
  6. Step 6: Final answer
    x = 359,582.73

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1.5x scale

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.