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Finding the Fourth Proportional to 325,584.60, 488,312.10 and 157,104.60

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Solution

The fourth proportional to 325,584.60, 488,312.10 and 157,104.60 is: 235,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,584.60 : 488,312.10 = 157,104.60 : x
  2. Step 2: Convert to fraction form
    325,584.60/488,312.10 = 157,104.60/x
  3. Step 3: Cross multiply
    325,584.60x = 488,312.10 × 157,104.60
  4. Step 4: Simplify right side
    325,584.60x = 76,716,077,145.66
  5. Step 5: Solve for x
    x = 76,716,077,145.66/325,584.60
  6. Step 6: Final answer
    x = 235,625.63

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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.