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Finding the Fourth Proportional to 301,025.72, 415,419.51 and 165,059.33

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Solution

The fourth proportional to 301,025.72, 415,419.51 and 165,059.33 is: 227,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,025.72 : 415,419.51 = 165,059.33 : x
  2. Step 2: Convert to fraction form
    301,025.72/415,419.51 = 165,059.33/x
  3. Step 3: Cross multiply
    301,025.72x = 415,419.51 × 165,059.33
  4. Step 4: Simplify right side
    301,025.72x = 68,568,865,989.53
  5. Step 5: Solve for x
    x = 68,568,865,989.53/301,025.72
  6. Step 6: Final answer
    x = 227,784.08

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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.