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Finding the Fourth Proportional to 311,416.32, 429,754.49 and 168,176.34

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Solution

The fourth proportional to 311,416.32, 429,754.49 and 168,176.34 is: 232,083.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416.32 : 429,754.49 = 168,176.34 : x
  2. Step 2: Convert to fraction form
    311,416.32/429,754.49 = 168,176.34/x
  3. Step 3: Cross multiply
    311,416.32x = 429,754.49 × 168,176.34
  4. Step 4: Simplify right side
    311,416.32x = 72,274,536,385.88
  5. Step 5: Solve for x
    x = 72,274,536,385.88/311,416.32
  6. Step 6: Final answer
    x = 232,083.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.