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Finding the Fourth Proportional to 348,902.21, 481,427.47 and 205,689.96

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Solution

The fourth proportional to 348,902.21, 481,427.47 and 205,689.96 is: 283,818.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,902.21 : 481,427.47 = 205,689.96 : x
  2. Step 2: Convert to fraction form
    348,902.21/481,427.47 = 205,689.96/x
  3. Step 3: Cross multiply
    348,902.21x = 481,427.47 × 205,689.96
  4. Step 4: Simplify right side
    348,902.21x = 99,024,797,047.20
  5. Step 5: Solve for x
    x = 99,024,797,047.20/348,902.21
  6. Step 6: Final answer
    x = 283,818.20

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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.