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Finding the Fourth Proportional to 325,911.60, 488,575.80 and 213,645.60

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Solution

The fourth proportional to 325,911.60, 488,575.80 and 213,645.60 is: 320,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,911.60 : 488,575.80 = 213,645.60 : x
  2. Step 2: Convert to fraction form
    325,911.60/488,575.80 = 213,645.60/x
  3. Step 3: Cross multiply
    325,911.60x = 488,575.80 × 213,645.60
  4. Step 4: Simplify right side
    325,911.60x = 104,382,069,936.48
  5. Step 5: Solve for x
    x = 104,382,069,936.48/325,911.60
  6. Step 6: Final answer
    x = 320,277.25

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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.