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Finding the Fourth Proportional to 263,678.41, 363,775.80 and 194,932.93

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Solution

The fourth proportional to 263,678.41, 363,775.80 and 194,932.93 is: 268,933.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,678.41 : 363,775.80 = 194,932.93 : x
  2. Step 2: Convert to fraction form
    263,678.41/363,775.80 = 194,932.93/x
  3. Step 3: Cross multiply
    263,678.41x = 363,775.80 × 194,932.93
  4. Step 4: Simplify right side
    263,678.41x = 70,911,882,557.09
  5. Step 5: Solve for x
    x = 70,911,882,557.09/263,678.41
  6. Step 6: Final answer
    x = 268,933.22

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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.