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Finding the Fourth Proportional to 596,792.71, 823,584.45 and 324,868.42

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Solution

The fourth proportional to 596,792.71, 823,584.45 and 324,868.42 is: 448,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,792.71 : 823,584.45 = 324,868.42 : x
  2. Step 2: Convert to fraction form
    596,792.71/823,584.45 = 324,868.42/x
  3. Step 3: Cross multiply
    596,792.71x = 823,584.45 × 324,868.42
  4. Step 4: Simplify right side
    596,792.71x = 267,556,579,008.07
  5. Step 5: Solve for x
    x = 267,556,579,008.07/596,792.71
  6. Step 6: Final answer
    x = 448,324.14

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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.