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Finding the Fourth Proportional to 237,409.40, 356,114.10 and 211,604.60

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Solution

The fourth proportional to 237,409.40, 356,114.10 and 211,604.60 is: 317,406.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,409.40 : 356,114.10 = 211,604.60 : x
  2. Step 2: Convert to fraction form
    237,409.40/356,114.10 = 211,604.60/x
  3. Step 3: Cross multiply
    237,409.40x = 356,114.10 × 211,604.60
  4. Step 4: Simplify right side
    237,409.40x = 75,355,381,684.86
  5. Step 5: Solve for x
    x = 75,355,381,684.86/237,409.40
  6. Step 6: Final answer
    x = 317,406.90

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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.