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Finding the Fourth Proportional to 410,940.57, 616,468.75 and 126,654.11

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Solution

The fourth proportional to 410,940.57, 616,468.75 and 126,654.11 is: 189,999.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,940.57 : 616,468.75 = 126,654.11 : x
  2. Step 2: Convert to fraction form
    410,940.57/616,468.75 = 126,654.11/x
  3. Step 3: Cross multiply
    410,940.57x = 616,468.75 × 126,654.11
  4. Step 4: Simplify right side
    410,940.57x = 78,078,298,409.24
  5. Step 5: Solve for x
    x = 78,078,298,409.24/410,940.57
  6. Step 6: Final answer
    x = 189,999.00

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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.