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Finding the Fourth Proportional to 945,954, 1,305,444.06 and 516,261.60

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Solution

The fourth proportional to 945,954, 1,305,444.06 and 516,261.60 is: 712,456.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,954 : 1,305,444.06 = 516,261.60 : x
  2. Step 2: Convert to fraction form
    945,954/1,305,444.06 = 516,261.60/x
  3. Step 3: Cross multiply
    945,954x = 1,305,444.06 × 516,261.60
  4. Step 4: Simplify right side
    945,954x = 673,950,639,126.10
  5. Step 5: Solve for x
    x = 673,950,639,126.10/945,954
  6. Step 6: Final answer
    x = 712,456.04

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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.