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Finding the Fourth Proportional to 348,496.50, 480,851.01 and 205,204.26

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Solution

The fourth proportional to 348,496.50, 480,851.01 and 205,204.26 is: 283,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,496.50 : 480,851.01 = 205,204.26 : x
  2. Step 2: Convert to fraction form
    348,496.50/480,851.01 = 205,204.26/x
  3. Step 3: Cross multiply
    348,496.50x = 480,851.01 × 205,204.26
  4. Step 4: Simplify right side
    348,496.50x = 98,672,675,677.30
  5. Step 5: Solve for x
    x = 98,672,675,677.30/348,496.50
  6. Step 6: Final answer
    x = 283,138.21

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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.