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Finding the Fourth Proportional to 462,604.78, 692,829.34 and 449,835.42

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Solution

The fourth proportional to 462,604.78, 692,829.34 and 449,835.42 is: 673,705.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,604.78 : 692,829.34 = 449,835.42 : x
  2. Step 2: Convert to fraction form
    462,604.78/692,829.34 = 449,835.42/x
  3. Step 3: Cross multiply
    462,604.78x = 692,829.34 × 449,835.42
  4. Step 4: Simplify right side
    462,604.78x = 311,659,177,147.22
  5. Step 5: Solve for x
    x = 311,659,177,147.22/462,604.78
  6. Step 6: Final answer
    x = 673,705.05

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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.