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Finding the Fourth Proportional to 468,361, 702,541.50 and 172,873

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Solution

The fourth proportional to 468,361, 702,541.50 and 172,873 is: 259,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,361 : 702,541.50 = 172,873 : x
  2. Step 2: Convert to fraction form
    468,361/702,541.50 = 172,873/x
  3. Step 3: Cross multiply
    468,361x = 702,541.50 × 172,873
  4. Step 4: Simplify right side
    468,361x = 121,450,456,729.50
  5. Step 5: Solve for x
    x = 121,450,456,729.50/468,361
  6. Step 6: Final answer
    x = 259,309.50

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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.