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Finding the Fourth Proportional to 275,982.40, 413,970.40 and 194,594.24

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Solution

The fourth proportional to 275,982.40, 413,970.40 and 194,594.24 is: 291,889.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,982.40 : 413,970.40 = 194,594.24 : x
  2. Step 2: Convert to fraction form
    275,982.40/413,970.40 = 194,594.24/x
  3. Step 3: Cross multiply
    275,982.40x = 413,970.40 × 194,594.24
  4. Step 4: Simplify right side
    275,982.40x = 80,556,255,370.50
  5. Step 5: Solve for x
    x = 80,556,255,370.50/275,982.40
  6. Step 6: Final answer
    x = 291,889.10

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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.