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Finding the Fourth Proportional to 481,684.89, 722,564.70 and 144,699.17

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Solution

The fourth proportional to 481,684.89, 722,564.70 and 144,699.17 is: 217,059.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,684.89 : 722,564.70 = 144,699.17 : x
  2. Step 2: Convert to fraction form
    481,684.89/722,564.70 = 144,699.17/x
  3. Step 3: Cross multiply
    481,684.89x = 722,564.70 × 144,699.17
  4. Step 4: Simplify right side
    481,684.89x = 104,554,511,637.80
  5. Step 5: Solve for x
    x = 104,554,511,637.80/481,684.89
  6. Step 6: Final answer
    x = 217,059.98

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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.