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Finding the Fourth Proportional to 411,021.54, 616,882.23 and 161,878.50

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Solution

The fourth proportional to 411,021.54, 616,882.23 and 161,878.50 is: 242,955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,021.54 : 616,882.23 = 161,878.50 : x
  2. Step 2: Convert to fraction form
    411,021.54/616,882.23 = 161,878.50/x
  3. Step 3: Cross multiply
    411,021.54x = 616,882.23 × 161,878.50
  4. Step 4: Simplify right side
    411,021.54x = 99,859,970,069.06
  5. Step 5: Solve for x
    x = 99,859,970,069.06/411,021.54
  6. Step 6: Final answer
    x = 242,955.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.