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Finding the Fourth Proportional to 505,797.92, 758,735.76 and 190,247.84

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Solution

The fourth proportional to 505,797.92, 758,735.76 and 190,247.84 is: 285,386.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,797.92 : 758,735.76 = 190,247.84 : x
  2. Step 2: Convert to fraction form
    505,797.92/758,735.76 = 190,247.84/x
  3. Step 3: Cross multiply
    505,797.92x = 758,735.76 × 190,247.84
  4. Step 4: Simplify right side
    505,797.92x = 144,347,839,470.76
  5. Step 5: Solve for x
    x = 144,347,839,470.76/505,797.92
  6. Step 6: Final answer
    x = 285,386.38

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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.