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Finding the Fourth Proportional to 263,902.74, 364,225.41 and 207,736.98

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Solution

The fourth proportional to 263,902.74, 364,225.41 and 207,736.98 is: 286,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,902.74 : 364,225.41 = 207,736.98 : x
  2. Step 2: Convert to fraction form
    263,902.74/364,225.41 = 207,736.98/x
  3. Step 3: Cross multiply
    263,902.74x = 364,225.41 × 207,736.98
  4. Step 4: Simplify right side
    263,902.74x = 75,663,086,712.66
  5. Step 5: Solve for x
    x = 75,663,086,712.66/263,902.74
  6. Step 6: Final answer
    x = 286,708.23

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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.