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Finding the Fourth Proportional to 353,296.28, 529,932.24 and 100,578.32

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Solution

The fourth proportional to 353,296.28, 529,932.24 and 100,578.32 is: 150,864.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,296.28 : 529,932.24 = 100,578.32 : x
  2. Step 2: Convert to fraction form
    353,296.28/529,932.24 = 100,578.32/x
  3. Step 3: Cross multiply
    353,296.28x = 529,932.24 × 100,578.32
  4. Step 4: Simplify right side
    353,296.28x = 53,299,694,413.04
  5. Step 5: Solve for x
    x = 53,299,694,413.04/353,296.28
  6. Step 6: Final answer
    x = 150,864.01

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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.