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Finding the Fourth Proportional to 2,042,932, 3,064,398 and 642,100

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Solution

The fourth proportional to 2,042,932, 3,064,398 and 642,100 is: 963,150

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042,932 : 3,064,398 = 642,100 : x
  2. Step 2: Convert to fraction form
    2,042,932/3,064,398 = 642,100/x
  3. Step 3: Cross multiply
    2,042,932x = 3,064,398 × 642,100
  4. Step 4: Simplify right side
    2,042,932x = 1,967,649,955,800
  5. Step 5: Solve for x
    x = 1,967,649,955,800/2,042,932
  6. Step 6: Final answer
    x = 963,150

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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.