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Finding the Fourth Proportional to 298,532.25, 411,968.61 and 162,567.81

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Solution

The fourth proportional to 298,532.25, 411,968.61 and 162,567.81 is: 224,340.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,532.25 : 411,968.61 = 162,567.81 : x
  2. Step 2: Convert to fraction form
    298,532.25/411,968.61 = 162,567.81/x
  3. Step 3: Cross multiply
    298,532.25x = 411,968.61 × 162,567.81
  4. Step 4: Simplify right side
    298,532.25x = 66,972,834,716.44
  5. Step 5: Solve for x
    x = 66,972,834,716.44/298,532.25
  6. Step 6: Final answer
    x = 224,340.37

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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.