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Finding the Fourth Proportional to 729,540, 1,094,314.86 and 230,904

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Solution

The fourth proportional to 729,540, 1,094,314.86 and 230,904 is: 346,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,540 : 1,094,314.86 = 230,904 : x
  2. Step 2: Convert to fraction form
    729,540/1,094,314.86 = 230,904/x
  3. Step 3: Cross multiply
    729,540x = 1,094,314.86 × 230,904
  4. Step 4: Simplify right side
    729,540x = 252,681,678,433.44
  5. Step 5: Solve for x
    x = 252,681,678,433.44/729,540
  6. Step 6: Final answer
    x = 346,357.54

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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.