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Finding the Fourth Proportional to 405,794.25, 608,295.69 and 169,204.59

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Solution

The fourth proportional to 405,794.25, 608,295.69 and 169,204.59 is: 253,641.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,794.25 : 608,295.69 = 169,204.59 : x
  2. Step 2: Convert to fraction form
    405,794.25/608,295.69 = 169,204.59/x
  3. Step 3: Cross multiply
    405,794.25x = 608,295.69 × 169,204.59
  4. Step 4: Simplify right side
    405,794.25x = 102,926,422,825.22
  5. Step 5: Solve for x
    x = 102,926,422,825.22/405,794.25
  6. Step 6: Final answer
    x = 253,641.90

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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.