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Finding the Fourth Proportional to 301,074.73, 415,483.70 and 165,109.64

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Solution

The fourth proportional to 301,074.73, 415,483.70 and 165,109.64 is: 227,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,074.73 : 415,483.70 = 165,109.64 : x
  2. Step 2: Convert to fraction form
    301,074.73/415,483.70 = 165,109.64/x
  3. Step 3: Cross multiply
    301,074.73x = 415,483.70 × 165,109.64
  4. Step 4: Simplify right side
    301,074.73x = 68,600,362,468.22
  5. Step 5: Solve for x
    x = 68,600,362,468.22/301,074.73
  6. Step 6: Final answer
    x = 227,851.61

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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.