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Finding the Fourth Proportional to 468,362, 702,543 and 172,874

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Solution

The fourth proportional to 468,362, 702,543 and 172,874 is: 259,311

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,362 : 702,543 = 172,874 : x
  2. Step 2: Convert to fraction form
    468,362/702,543 = 172,874/x
  3. Step 3: Cross multiply
    468,362x = 702,543 × 172,874
  4. Step 4: Simplify right side
    468,362x = 121,451,418,582
  5. Step 5: Solve for x
    x = 121,451,418,582/468,362
  6. Step 6: Final answer
    x = 259,311

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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.