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Finding the Fourth Proportional to 291,276.37, 401,754.33 and 194,431.39

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Solution

The fourth proportional to 291,276.37, 401,754.33 and 194,431.39 is: 268,177.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,276.37 : 401,754.33 = 194,431.39 : x
  2. Step 2: Convert to fraction form
    291,276.37/401,754.33 = 194,431.39/x
  3. Step 3: Cross multiply
    291,276.37x = 401,754.33 × 194,431.39
  4. Step 4: Simplify right side
    291,276.37x = 78,113,652,820.42
  5. Step 5: Solve for x
    x = 78,113,652,820.42/291,276.37
  6. Step 6: Final answer
    x = 268,177.10

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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.