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Finding the Fourth Proportional to 325,765.80, 488,519.10 and 115,295.40

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Solution

The fourth proportional to 325,765.80, 488,519.10 and 115,295.40 is: 172,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,765.80 : 488,519.10 = 115,295.40 : x
  2. Step 2: Convert to fraction form
    325,765.80/488,519.10 = 115,295.40/x
  3. Step 3: Cross multiply
    325,765.80x = 488,519.10 × 115,295.40
  4. Step 4: Simplify right side
    325,765.80x = 56,324,005,042.14
  5. Step 5: Solve for x
    x = 56,324,005,042.14/325,765.80
  6. Step 6: Final answer
    x = 172,897.23

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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.