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Finding the Fourth Proportional to 325,805.60, 488,708.40 and 115,464.80

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Solution

The fourth proportional to 325,805.60, 488,708.40 and 115,464.80 is: 173,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,805.60 : 488,708.40 = 115,464.80 : x
  2. Step 2: Convert to fraction form
    325,805.60/488,708.40 = 115,464.80/x
  3. Step 3: Cross multiply
    325,805.60x = 488,708.40 × 115,464.80
  4. Step 4: Simplify right side
    325,805.60x = 56,428,617,664.32
  5. Step 5: Solve for x
    x = 56,428,617,664.32/325,805.60
  6. Step 6: Final answer
    x = 173,197.20

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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.