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Finding the Fourth Proportional to 596,792.70, 823,584.40 and 324,868.40

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Solution

The fourth proportional to 596,792.70, 823,584.40 and 324,868.40 is: 448,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,792.70 : 823,584.40 = 324,868.40 : x
  2. Step 2: Convert to fraction form
    596,792.70/823,584.40 = 324,868.40/x
  3. Step 3: Cross multiply
    596,792.70x = 823,584.40 × 324,868.40
  4. Step 4: Simplify right side
    596,792.70x = 267,556,546,292.96
  5. Step 5: Solve for x
    x = 267,556,546,292.96/596,792.70
  6. Step 6: Final answer
    x = 448,324.09

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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.