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Finding the Fourth Proportional to 303,730.31, 419,147.83 and 169,594.31

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Solution

The fourth proportional to 303,730.31, 419,147.83 and 169,594.31 is: 234,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,730.31 : 419,147.83 = 169,594.31 : x
  2. Step 2: Convert to fraction form
    303,730.31/419,147.83 = 169,594.31/x
  3. Step 3: Cross multiply
    303,730.31x = 419,147.83 × 169,594.31
  4. Step 4: Simplify right side
    303,730.31x = 71,085,088,276.71
  5. Step 5: Solve for x
    x = 71,085,088,276.71/303,730.31
  6. Step 6: Final answer
    x = 234,040.15

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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.