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Finding the Fourth Proportional to 325,512.60, 487,977.30 and 213,246.60

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Solution

The fourth proportional to 325,512.60, 487,977.30 and 213,246.60 is: 319,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,512.60 : 487,977.30 = 213,246.60 : x
  2. Step 2: Convert to fraction form
    325,512.60/487,977.30 = 213,246.60/x
  3. Step 3: Cross multiply
    325,512.60x = 487,977.30 × 213,246.60
  4. Step 4: Simplify right side
    325,512.60x = 104,059,500,102.18
  5. Step 5: Solve for x
    x = 104,059,500,102.18/325,512.60
  6. Step 6: Final answer
    x = 319,678.87

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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.