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Finding the Fourth Proportional to 308,654.49, 465,295.16 and 288,079.60

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Solution

The fourth proportional to 308,654.49, 465,295.16 and 288,079.60 is: 434,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,654.49 : 465,295.16 = 288,079.60 : x
  2. Step 2: Convert to fraction form
    308,654.49/465,295.16 = 288,079.60/x
  3. Step 3: Cross multiply
    308,654.49x = 465,295.16 × 288,079.60
  4. Step 4: Simplify right side
    308,654.49x = 134,042,043,574.74
  5. Step 5: Solve for x
    x = 134,042,043,574.74/308,654.49
  6. Step 6: Final answer
    x = 434,278.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.