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Finding the Fourth Proportional to 505,878.53, 758,917.42 and 150,884.69

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Solution

The fourth proportional to 505,878.53, 758,917.42 and 150,884.69 is: 226,356.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,878.53 : 758,917.42 = 150,884.69 : x
  2. Step 2: Convert to fraction form
    505,878.53/758,917.42 = 150,884.69/x
  3. Step 3: Cross multiply
    505,878.53x = 758,917.42 × 150,884.69
  4. Step 4: Simplify right side
    505,878.53x = 114,509,015,480.50
  5. Step 5: Solve for x
    x = 114,509,015,480.50/505,878.53
  6. Step 6: Final answer
    x = 226,356.74

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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.