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Finding the Fourth Proportional to 519,571.86, 716,954.43 and 301,738.02

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Solution

The fourth proportional to 519,571.86, 716,954.43 and 301,738.02 is: 416,366.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,571.86 : 716,954.43 = 301,738.02 : x
  2. Step 2: Convert to fraction form
    519,571.86/716,954.43 = 301,738.02/x
  3. Step 3: Cross multiply
    519,571.86x = 716,954.43 × 301,738.02
  4. Step 4: Simplify right side
    519,571.86x = 216,332,410,138.43
  5. Step 5: Solve for x
    x = 216,332,410,138.43/519,571.86
  6. Step 6: Final answer
    x = 416,366.68

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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.