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Finding the Fourth Proportional to 301,076.65, 415,447.59 and 165,074.81

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Solution

The fourth proportional to 301,076.65, 415,447.59 and 165,074.81 is: 227,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,076.65 : 415,447.59 = 165,074.81 : x
  2. Step 2: Convert to fraction form
    301,076.65/415,447.59 = 165,074.81/x
  3. Step 3: Cross multiply
    301,076.65x = 415,447.59 × 165,074.81
  4. Step 4: Simplify right side
    301,076.65x = 68,579,931,464.90
  5. Step 5: Solve for x
    x = 68,579,931,464.90/301,076.65
  6. Step 6: Final answer
    x = 227,782.30

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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.