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Finding the Fourth Proportional to 379,604.24, 523,831.08 and 209,828.24

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Solution

The fourth proportional to 379,604.24, 523,831.08 and 209,828.24 is: 289,550.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,604.24 : 523,831.08 = 209,828.24 : x
  2. Step 2: Convert to fraction form
    379,604.24/523,831.08 = 209,828.24/x
  3. Step 3: Cross multiply
    379,604.24x = 523,831.08 × 209,828.24
  4. Step 4: Simplify right side
    379,604.24x = 109,914,553,573.70
  5. Step 5: Solve for x
    x = 109,914,553,573.70/379,604.24
  6. Step 6: Final answer
    x = 289,550.38

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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.