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Finding the Fourth Proportional to 263,190.74, 362,774.83 and 205,728.68

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Solution

The fourth proportional to 263,190.74, 362,774.83 and 205,728.68 is: 283,570.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,190.74 : 362,774.83 = 205,728.68 : x
  2. Step 2: Convert to fraction form
    263,190.74/362,774.83 = 205,728.68/x
  3. Step 3: Cross multiply
    263,190.74x = 362,774.83 × 205,728.68
  4. Step 4: Simplify right side
    263,190.74x = 74,633,185,072.26
  5. Step 5: Solve for x
    x = 74,633,185,072.26/263,190.74
  6. Step 6: Final answer
    x = 283,570.72

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1.5x scale

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.