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Finding the Fourth Proportional to 458,174.64, 632,280.81 and 267,151.14

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Solution

The fourth proportional to 458,174.64, 632,280.81 and 267,151.14 is: 368,668.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,174.64 : 632,280.81 = 267,151.14 : x
  2. Step 2: Convert to fraction form
    458,174.64/632,280.81 = 267,151.14/x
  3. Step 3: Cross multiply
    458,174.64x = 632,280.81 × 267,151.14
  4. Step 4: Simplify right side
    458,174.64x = 168,914,539,191.62
  5. Step 5: Solve for x
    x = 168,914,539,191.62/458,174.64
  6. Step 6: Final answer
    x = 368,668.46

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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.