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Finding the Fourth Proportional to 599,146.26, 826,712.28 and 341,007.96

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Solution

The fourth proportional to 599,146.26, 826,712.28 and 341,007.96 is: 470,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,146.26 : 826,712.28 = 341,007.96 : x
  2. Step 2: Convert to fraction form
    599,146.26/826,712.28 = 341,007.96/x
  3. Step 3: Cross multiply
    599,146.26x = 826,712.28 × 341,007.96
  4. Step 4: Simplify right side
    599,146.26x = 281,915,468,109.75
  5. Step 5: Solve for x
    x = 281,915,468,109.75/599,146.26
  6. Step 6: Final answer
    x = 470,528.63

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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.