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Finding the Fourth Proportional to 291,294.54, 436,496.70 and 196,173

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Solution

The fourth proportional to 291,294.54, 436,496.70 and 196,173 is: 293,959.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,294.54 : 436,496.70 = 196,173 : x
  2. Step 2: Convert to fraction form
    291,294.54/436,496.70 = 196,173/x
  3. Step 3: Cross multiply
    291,294.54x = 436,496.70 × 196,173
  4. Step 4: Simplify right side
    291,294.54x = 85,628,867,129.10
  5. Step 5: Solve for x
    x = 85,628,867,129.10/291,294.54
  6. Step 6: Final answer
    x = 293,959.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.