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Finding the Fourth Proportional to 474,409.50, 655,084.02 and 338,859.24

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Solution

The fourth proportional to 474,409.50, 655,084.02 and 338,859.24 is: 467,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,409.50 : 655,084.02 = 338,859.24 : x
  2. Step 2: Convert to fraction form
    474,409.50/655,084.02 = 338,859.24/x
  3. Step 3: Cross multiply
    474,409.50x = 655,084.02 × 338,859.24
  4. Step 4: Simplify right side
    474,409.50x = 221,981,273,153.35
  5. Step 5: Solve for x
    x = 221,981,273,153.35/474,409.50
  6. Step 6: Final answer
    x = 467,910.68

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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.