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Finding the Fourth Proportional to 1,410,314.06, 1,946,235.93 and 765,732.26

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Solution

The fourth proportional to 1,410,314.06, 1,946,235.93 and 765,732.26 is: 1,056,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,314.06 : 1,946,235.93 = 765,732.26 : x
  2. Step 2: Convert to fraction form
    1,410,314.06/1,946,235.93 = 765,732.26/x
  3. Step 3: Cross multiply
    1,410,314.06x = 1,946,235.93 × 765,732.26
  4. Step 4: Simplify right side
    1,410,314.06x = 1,490,295,637,172.10
  5. Step 5: Solve for x
    x = 1,490,295,637,172.10/1,410,314.06
  6. Step 6: Final answer
    x = 1,056,711.89

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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.