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Finding the Fourth Proportional to 1,411,216.92, 1,947,495.94 and 766,647.26

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Solution

The fourth proportional to 1,411,216.92, 1,947,495.94 and 766,647.26 is: 1,057,982.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,216.92 : 1,947,495.94 = 766,647.26 : x
  2. Step 2: Convert to fraction form
    1,411,216.92/1,947,495.94 = 766,647.26/x
  3. Step 3: Cross multiply
    1,411,216.92x = 1,947,495.94 × 766,647.26
  4. Step 4: Simplify right side
    1,411,216.92x = 1,493,042,426,262.12
  5. Step 5: Solve for x
    x = 1,493,042,426,262.12/1,411,216.92
  6. Step 6: Final answer
    x = 1,057,982.23

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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.