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Finding the Fourth Proportional to 505,694.10, 758,651.94 and 190,151.01

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Solution

The fourth proportional to 505,694.10, 758,651.94 and 190,151.01 is: 285,268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,694.10 : 758,651.94 = 190,151.01 : x
  2. Step 2: Convert to fraction form
    505,694.10/758,651.94 = 190,151.01/x
  3. Step 3: Cross multiply
    505,694.10x = 758,651.94 × 190,151.01
  4. Step 4: Simplify right side
    505,694.10x = 144,258,432,629.46
  5. Step 5: Solve for x
    x = 144,258,432,629.46/505,694.10
  6. Step 6: Final answer
    x = 285,268.17

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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.