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Finding the Fourth Proportional to 301,186.56, 415,643 and 165,227.46

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Solution

The fourth proportional to 301,186.56, 415,643 and 165,227.46 is: 228,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,186.56 : 415,643 = 165,227.46 : x
  2. Step 2: Convert to fraction form
    301,186.56/415,643 = 165,227.46/x
  3. Step 3: Cross multiply
    301,186.56x = 415,643 × 165,227.46
  4. Step 4: Simplify right side
    301,186.56x = 68,675,637,156.78
  5. Step 5: Solve for x
    x = 68,675,637,156.78/301,186.56
  6. Step 6: Final answer
    x = 228,016.94

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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.