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Finding the Fourth Proportional to 1,411,517.53, 1,947,866.14 and 766,942.34

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Solution

The fourth proportional to 1,411,517.53, 1,947,866.14 and 766,942.34 is: 1,058,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,517.53 : 1,947,866.14 = 766,942.34 : x
  2. Step 2: Convert to fraction form
    1,411,517.53/1,947,866.14 = 766,942.34/x
  3. Step 3: Cross multiply
    1,411,517.53x = 1,947,866.14 × 766,942.34
  4. Step 4: Simplify right side
    1,411,517.53x = 1,493,901,015,418.37
  5. Step 5: Solve for x
    x = 1,493,901,015,418.37/1,411,517.53
  6. Step 6: Final answer
    x = 1,058,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.