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Finding the Fourth Proportional to 729,546, 1,094,323.86 and 230,910

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Solution

The fourth proportional to 729,546, 1,094,323.86 and 230,910 is: 346,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,546 : 1,094,323.86 = 230,910 : x
  2. Step 2: Convert to fraction form
    729,546/1,094,323.86 = 230,910/x
  3. Step 3: Cross multiply
    729,546x = 1,094,323.86 × 230,910
  4. Step 4: Simplify right side
    729,546x = 252,690,322,512.60
  5. Step 5: Solve for x
    x = 252,690,322,512.60/729,546
  6. Step 6: Final answer
    x = 346,366.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.