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Finding the Fourth Proportional to 1,410,263.93, 1,946,164.16 and 765,684.21

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Solution

The fourth proportional to 1,410,263.93, 1,946,164.16 and 765,684.21 is: 1,056,644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,263.93 : 1,946,164.16 = 765,684.21 : x
  2. Step 2: Convert to fraction form
    1,410,263.93/1,946,164.16 = 765,684.21/x
  3. Step 3: Cross multiply
    1,410,263.93x = 1,946,164.16 × 765,684.21
  4. Step 4: Simplify right side
    1,410,263.93x = 1,490,147,167,379.91
  5. Step 5: Solve for x
    x = 1,490,147,167,379.91/1,410,263.93
  6. Step 6: Final answer
    x = 1,056,644.18

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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.