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Finding the Fourth Proportional to 458,180.64, 632,289.08 and 267,157.14

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Solution

The fourth proportional to 458,180.64, 632,289.08 and 267,157.14 is: 368,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,180.64 : 632,289.08 = 267,157.14 : x
  2. Step 2: Convert to fraction form
    458,180.64/632,289.08 = 267,157.14/x
  3. Step 3: Cross multiply
    458,180.64x = 632,289.08 × 267,157.14
  4. Step 4: Simplify right side
    458,180.64x = 168,920,542,266.03
  5. Step 5: Solve for x
    x = 168,920,542,266.03/458,180.64
  6. Step 6: Final answer
    x = 368,676.73

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1.5x scale

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.