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Finding the Fourth Proportional to 308,129.40, 462,194.10 and 208,596.60

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Solution

The fourth proportional to 308,129.40, 462,194.10 and 208,596.60 is: 312,894.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,129.40 : 462,194.10 = 208,596.60 : x
  2. Step 2: Convert to fraction form
    308,129.40/462,194.10 = 208,596.60/x
  3. Step 3: Cross multiply
    308,129.40x = 462,194.10 × 208,596.60
  4. Step 4: Simplify right side
    308,129.40x = 96,412,117,800.06
  5. Step 5: Solve for x
    x = 96,412,117,800.06/308,129.40
  6. Step 6: Final answer
    x = 312,894.90

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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.