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Finding the Fourth Proportional to 301,086, 415,563.48 and 180,254.25

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Solution

The fourth proportional to 301,086, 415,563.48 and 180,254.25 is: 248,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,086 : 415,563.48 = 180,254.25 : x
  2. Step 2: Convert to fraction form
    301,086/415,563.48 = 180,254.25/x
  3. Step 3: Cross multiply
    301,086x = 415,563.48 × 180,254.25
  4. Step 4: Simplify right side
    301,086x = 74,907,083,414.79
  5. Step 5: Solve for x
    x = 74,907,083,414.79/301,086
  6. Step 6: Final answer
    x = 248,789.66

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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.