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Finding the Fourth Proportional to 462,103.45, 692,858.54 and 192,418.54

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Solution

The fourth proportional to 462,103.45, 692,858.54 and 192,418.54 is: 288,504.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,103.45 : 692,858.54 = 192,418.54 : x
  2. Step 2: Convert to fraction form
    462,103.45/692,858.54 = 192,418.54/x
  3. Step 3: Cross multiply
    462,103.45x = 692,858.54 × 192,418.54
  4. Step 4: Simplify right side
    462,103.45x = 133,318,827,442.23
  5. Step 5: Solve for x
    x = 133,318,827,442.23/462,103.45
  6. Step 6: Final answer
    x = 288,504.29

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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.