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Finding the Fourth Proportional to 1,409,784.26, 1,945,504.08 and 765,204.29

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Solution

The fourth proportional to 1,409,784.26, 1,945,504.08 and 765,204.29 is: 1,055,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,784.26 : 1,945,504.08 = 765,204.29 : x
  2. Step 2: Convert to fraction form
    1,409,784.26/1,945,504.08 = 765,204.29/x
  3. Step 3: Cross multiply
    1,409,784.26x = 1,945,504.08 × 765,204.29
  4. Step 4: Simplify right side
    1,409,784.26x = 1,488,708,058,500.98
  5. Step 5: Solve for x
    x = 1,488,708,058,500.98/1,409,784.26
  6. Step 6: Final answer
    x = 1,055,982.89

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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.