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Finding the Fourth Proportional to 345,886.44, 477,345.24 and 194,993.16

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Solution

The fourth proportional to 345,886.44, 477,345.24 and 194,993.16 is: 269,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,886.44 : 477,345.24 = 194,993.16 : x
  2. Step 2: Convert to fraction form
    345,886.44/477,345.24 = 194,993.16/x
  3. Step 3: Cross multiply
    345,886.44x = 477,345.24 × 194,993.16
  4. Step 4: Simplify right side
    345,886.44x = 93,079,056,758.56
  5. Step 5: Solve for x
    x = 93,079,056,758.56/345,886.44
  6. Step 6: Final answer
    x = 269,102.94

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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.