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Finding the Fourth Proportional to 298,542.60, 411,988.14 and 162,574.38

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Solution

The fourth proportional to 298,542.60, 411,988.14 and 162,574.38 is: 224,352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,542.60 : 411,988.14 = 162,574.38 : x
  2. Step 2: Convert to fraction form
    298,542.60/411,988.14 = 162,574.38/x
  3. Step 3: Cross multiply
    298,542.60x = 411,988.14 × 162,574.38
  4. Step 4: Simplify right side
    298,542.60x = 66,978,716,427.85
  5. Step 5: Solve for x
    x = 66,978,716,427.85/298,542.60
  6. Step 6: Final answer
    x = 224,352.29

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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.