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Finding the Fourth Proportional to 597,768.06, 824,909.26 and 325,838.31

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Solution

The fourth proportional to 597,768.06, 824,909.26 and 325,838.31 is: 449,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,768.06 : 824,909.26 = 325,838.31 : x
  2. Step 2: Convert to fraction form
    597,768.06/824,909.26 = 325,838.31/x
  3. Step 3: Cross multiply
    597,768.06x = 824,909.26 × 325,838.31
  4. Step 4: Simplify right side
    597,768.06x = 268,787,039,181.75
  5. Step 5: Solve for x
    x = 268,787,039,181.75/597,768.06
  6. Step 6: Final answer
    x = 449,651.06

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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.