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Finding the Fourth Proportional to 404,811.40, 606,245.10 and 217,409.80

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Solution

The fourth proportional to 404,811.40, 606,245.10 and 217,409.80 is: 325,592.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,811.40 : 606,245.10 = 217,409.80 : x
  2. Step 2: Convert to fraction form
    404,811.40/606,245.10 = 217,409.80/x
  3. Step 3: Cross multiply
    404,811.40x = 606,245.10 × 217,409.80
  4. Step 4: Simplify right side
    404,811.40x = 131,803,625,941.98
  5. Step 5: Solve for x
    x = 131,803,625,941.98/404,811.40
  6. Step 6: Final answer
    x = 325,592.67

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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.