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Finding the Fourth Proportional to 548,638.89, 823,308.24 and 233,095.80

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Solution

The fourth proportional to 548,638.89, 823,308.24 and 233,095.80 is: 349,792.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,638.89 : 823,308.24 = 233,095.80 : x
  2. Step 2: Convert to fraction form
    548,638.89/823,308.24 = 233,095.80/x
  3. Step 3: Cross multiply
    548,638.89x = 823,308.24 × 233,095.80
  4. Step 4: Simplify right side
    548,638.89x = 191,909,692,849.39
  5. Step 5: Solve for x
    x = 191,909,692,849.39/548,638.89
  6. Step 6: Final answer
    x = 349,792.36

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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.