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Finding the Fourth Proportional to 394,851, 544,896.54 and 216,003

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Solution

The fourth proportional to 394,851, 544,896.54 and 216,003 is: 298,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,851 : 544,896.54 = 216,003 : x
  2. Step 2: Convert to fraction form
    394,851/544,896.54 = 216,003/x
  3. Step 3: Cross multiply
    394,851x = 544,896.54 × 216,003
  4. Step 4: Simplify right side
    394,851x = 117,699,287,329.62
  5. Step 5: Solve for x
    x = 117,699,287,329.62/394,851
  6. Step 6: Final answer
    x = 298,085.32

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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.