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Finding the Fourth Proportional to 301,193.94, 415,653.17 and 165,234.84

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Solution

The fourth proportional to 301,193.94, 415,653.17 and 165,234.84 is: 228,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,193.94 : 415,653.17 = 165,234.84 : x
  2. Step 2: Convert to fraction form
    301,193.94/415,653.17 = 165,234.84/x
  3. Step 3: Cross multiply
    301,193.94x = 415,653.17 × 165,234.84
  4. Step 4: Simplify right side
    301,193.94x = 68,680,384,214.27
  5. Step 5: Solve for x
    x = 68,680,384,214.27/301,193.94
  6. Step 6: Final answer
    x = 228,027.11

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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.