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Finding the Fourth Proportional to 505,173.07, 757,103.50 and 205,304.70

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Solution

The fourth proportional to 505,173.07, 757,103.50 and 205,304.70 is: 307,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,173.07 : 757,103.50 = 205,304.70 : x
  2. Step 2: Convert to fraction form
    505,173.07/757,103.50 = 205,304.70/x
  3. Step 3: Cross multiply
    505,173.07x = 757,103.50 × 205,304.70
  4. Step 4: Simplify right side
    505,173.07x = 155,436,906,936.45
  5. Step 5: Solve for x
    x = 155,436,906,936.45/505,173.07
  6. Step 6: Final answer
    x = 307,690.41

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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.