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Finding the Fourth Proportional to 287,193.60, 431,308.80 and 208,396.80

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Solution

The fourth proportional to 287,193.60, 431,308.80 and 208,396.80 is: 312,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,193.60 : 431,308.80 = 208,396.80 : x
  2. Step 2: Convert to fraction form
    287,193.60/431,308.80 = 208,396.80/x
  3. Step 3: Cross multiply
    287,193.60x = 431,308.80 × 208,396.80
  4. Step 4: Simplify right side
    287,193.60x = 89,883,373,731.84
  5. Step 5: Solve for x
    x = 89,883,373,731.84/287,193.60
  6. Step 6: Final answer
    x = 312,971.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.