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Finding the Fourth Proportional to 461,651.41, 692,235.90 and 208,811.11

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Solution

The fourth proportional to 461,651.41, 692,235.90 and 208,811.11 is: 313,107.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,651.41 : 692,235.90 = 208,811.11 : x
  2. Step 2: Convert to fraction form
    461,651.41/692,235.90 = 208,811.11/x
  3. Step 3: Cross multiply
    461,651.41x = 692,235.90 × 208,811.11
  4. Step 4: Simplify right side
    461,651.41x = 144,546,546,660.85
  5. Step 5: Solve for x
    x = 144,546,546,660.85/461,651.41
  6. Step 6: Final answer
    x = 313,107.56

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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.