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Finding the Fourth Proportional to 263,902.24, 364,224.72 and 207,736.48

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Solution

The fourth proportional to 263,902.24, 364,224.72 and 207,736.48 is: 286,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,902.24 : 364,224.72 = 207,736.48 : x
  2. Step 2: Convert to fraction form
    263,902.24/364,224.72 = 207,736.48/x
  3. Step 3: Cross multiply
    263,902.24x = 364,224.72 × 207,736.48
  4. Step 4: Simplify right side
    263,902.24x = 75,662,761,261.79
  5. Step 5: Solve for x
    x = 75,662,761,261.79/263,902.24
  6. Step 6: Final answer
    x = 286,707.54

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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.