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Finding the Fourth Proportional to 325,811.60, 488,717.40 and 201,222.80

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Solution

The fourth proportional to 325,811.60, 488,717.40 and 201,222.80 is: 301,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,811.60 : 488,717.40 = 201,222.80 : x
  2. Step 2: Convert to fraction form
    325,811.60/488,717.40 = 201,222.80/x
  3. Step 3: Cross multiply
    325,811.60x = 488,717.40 × 201,222.80
  4. Step 4: Simplify right side
    325,811.60x = 98,341,083,636.72
  5. Step 5: Solve for x
    x = 98,341,083,636.72/325,811.60
  6. Step 6: Final answer
    x = 301,834.20

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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.