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Finding the Fourth Proportional to 301,197.28, 415,655.46 and 165,231.46

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Solution

The fourth proportional to 301,197.28, 415,655.46 and 165,231.46 is: 228,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,197.28 : 415,655.46 = 165,231.46 : x
  2. Step 2: Convert to fraction form
    301,197.28/415,655.46 = 165,231.46/x
  3. Step 3: Cross multiply
    301,197.28x = 415,655.46 × 165,231.46
  4. Step 4: Simplify right side
    301,197.28x = 68,679,358,512.77
  5. Step 5: Solve for x
    x = 68,679,358,512.77/301,197.28
  6. Step 6: Final answer
    x = 228,021.18

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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.