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Finding the Fourth Proportional to 324,201.10, 486,848.40 and 270,838.30

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Solution

The fourth proportional to 324,201.10, 486,848.40 and 270,838.30 is: 406,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,201.10 : 486,848.40 = 270,838.30 : x
  2. Step 2: Convert to fraction form
    324,201.10/486,848.40 = 270,838.30/x
  3. Step 3: Cross multiply
    324,201.10x = 486,848.40 × 270,838.30
  4. Step 4: Simplify right side
    324,201.10x = 131,857,193,013.72
  5. Step 5: Solve for x
    x = 131,857,193,013.72/324,201.10
  6. Step 6: Final answer
    x = 406,714.21

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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.