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Finding the Fourth Proportional to 432,911.80, 649,367.70 and 354,179.80

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Solution

The fourth proportional to 432,911.80, 649,367.70 and 354,179.80 is: 531,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,911.80 : 649,367.70 = 354,179.80 : x
  2. Step 2: Convert to fraction form
    432,911.80/649,367.70 = 354,179.80/x
  3. Step 3: Cross multiply
    432,911.80x = 649,367.70 × 354,179.80
  4. Step 4: Simplify right side
    432,911.80x = 229,992,922,112.46
  5. Step 5: Solve for x
    x = 229,992,922,112.46/432,911.80
  6. Step 6: Final answer
    x = 531,269.70

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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.