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Finding the Fourth Proportional to 306,266.08, 422,411.68 and 271,846.40

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Solution

The fourth proportional to 306,266.08, 422,411.68 and 271,846.40 is: 374,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,266.08 : 422,411.68 = 271,846.40 : x
  2. Step 2: Convert to fraction form
    306,266.08/422,411.68 = 271,846.40/x
  3. Step 3: Cross multiply
    306,266.08x = 422,411.68 × 271,846.40
  4. Step 4: Simplify right side
    306,266.08x = 114,831,094,525.95
  5. Step 5: Solve for x
    x = 114,831,094,525.95/306,266.08
  6. Step 6: Final answer
    x = 374,938.99

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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.