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Finding the Fourth Proportional to 802,104.42, 1,203,744.69 and 646,215.06

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Solution

The fourth proportional to 802,104.42, 1,203,744.69 and 646,215.06 is: 969,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,104.42 : 1,203,744.69 = 646,215.06 : x
  2. Step 2: Convert to fraction form
    802,104.42/1,203,744.69 = 646,215.06/x
  3. Step 3: Cross multiply
    802,104.42x = 1,203,744.69 × 646,215.06
  4. Step 4: Simplify right side
    802,104.42x = 777,877,947,073.03
  5. Step 5: Solve for x
    x = 777,877,947,073.03/802,104.42
  6. Step 6: Final answer
    x = 969,796.36

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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.