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Finding the Fourth Proportional to 322,838.14, 445,251.33 and 286,566.07

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Solution

The fourth proportional to 322,838.14, 445,251.33 and 286,566.07 is: 395,225.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,838.14 : 445,251.33 = 286,566.07 : x
  2. Step 2: Convert to fraction form
    322,838.14/445,251.33 = 286,566.07/x
  3. Step 3: Cross multiply
    322,838.14x = 445,251.33 × 286,566.07
  4. Step 4: Simplify right side
    322,838.14x = 127,593,923,800.37
  5. Step 5: Solve for x
    x = 127,593,923,800.37/322,838.14
  6. Step 6: Final answer
    x = 395,225.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.