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Finding the Fourth Proportional to 1,410,266.92, 1,946,168.28 and 765,687.20

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Solution

The fourth proportional to 1,410,266.92, 1,946,168.28 and 765,687.20 is: 1,056,648.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,266.92 : 1,946,168.28 = 765,687.20 : x
  2. Step 2: Convert to fraction form
    1,410,266.92/1,946,168.28 = 765,687.20/x
  3. Step 3: Cross multiply
    1,410,266.92x = 1,946,168.28 × 765,687.20
  4. Step 4: Simplify right side
    1,410,266.92x = 1,490,156,141,042.02
  5. Step 5: Solve for x
    x = 1,490,156,141,042.02/1,410,266.92
  6. Step 6: Final answer
    x = 1,056,648.30

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