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Finding the Fourth Proportional to 432,994.70, 649,415.49 and 117,476.21

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Solution

The fourth proportional to 432,994.70, 649,415.49 and 117,476.21 is: 176,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,994.70 : 649,415.49 = 117,476.21 : x
  2. Step 2: Convert to fraction form
    432,994.70/649,415.49 = 117,476.21/x
  3. Step 3: Cross multiply
    432,994.70x = 649,415.49 × 117,476.21
  4. Step 4: Simplify right side
    432,994.70x = 76,290,867,233.42
  5. Step 5: Solve for x
    x = 76,290,867,233.42/432,994.70
  6. Step 6: Final answer
    x = 176,193.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.