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Finding the Fourth Proportional to 550,792.60, 826,423.97 and 311,086.46

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Solution

The fourth proportional to 550,792.60, 826,423.97 and 311,086.46 is: 466,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,792.60 : 826,423.97 = 311,086.46 : x
  2. Step 2: Convert to fraction form
    550,792.60/826,423.97 = 311,086.46/x
  3. Step 3: Cross multiply
    550,792.60x = 826,423.97 × 311,086.46
  4. Step 4: Simplify right side
    550,792.60x = 257,089,307,797.07
  5. Step 5: Solve for x
    x = 257,089,307,797.07/550,792.60
  6. Step 6: Final answer
    x = 466,762.46

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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.