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Finding the Fourth Proportional to 519,047.70, 777,733.20 and 293,738.10

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Solution

The fourth proportional to 519,047.70, 777,733.20 and 293,738.10 is: 440,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,047.70 : 777,733.20 = 293,738.10 : x
  2. Step 2: Convert to fraction form
    519,047.70/777,733.20 = 293,738.10/x
  3. Step 3: Cross multiply
    519,047.70x = 777,733.20 × 293,738.10
  4. Step 4: Simplify right side
    519,047.70x = 228,449,872,474.92
  5. Step 5: Solve for x
    x = 228,449,872,474.92/519,047.70
  6. Step 6: Final answer
    x = 440,132.71

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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.