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Finding the Fourth Proportional to 287,194.60, 431,310.30 and 208,397.80

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Solution

The fourth proportional to 287,194.60, 431,310.30 and 208,397.80 is: 312,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,194.60 : 431,310.30 = 208,397.80 : x
  2. Step 2: Convert to fraction form
    287,194.60/431,310.30 = 208,397.80/x
  3. Step 3: Cross multiply
    287,194.60x = 431,310.30 × 208,397.80
  4. Step 4: Simplify right side
    287,194.60x = 89,884,117,637.34
  5. Step 5: Solve for x
    x = 89,884,117,637.34/287,194.60
  6. Step 6: Final answer
    x = 312,972.87

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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.