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Finding the Fourth Proportional to 585,133.22, 877,953.38 and 206,324.54

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Solution

The fourth proportional to 585,133.22, 877,953.38 and 206,324.54 is: 309,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,133.22 : 877,953.38 = 206,324.54 : x
  2. Step 2: Convert to fraction form
    585,133.22/877,953.38 = 206,324.54/x
  3. Step 3: Cross multiply
    585,133.22x = 877,953.38 × 206,324.54
  4. Step 4: Simplify right side
    585,133.22x = 181,143,328,770.70
  5. Step 5: Solve for x
    x = 181,143,328,770.70/585,133.22
  6. Step 6: Final answer
    x = 309,576.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.