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Finding the Fourth Proportional to 308,046.60, 461,573.10 and 174,529.80

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Solution

The fourth proportional to 308,046.60, 461,573.10 and 174,529.80 is: 261,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,046.60 : 461,573.10 = 174,529.80 : x
  2. Step 2: Convert to fraction form
    308,046.60/461,573.10 = 174,529.80/x
  3. Step 3: Cross multiply
    308,046.60x = 461,573.10 × 174,529.80
  4. Step 4: Simplify right side
    308,046.60x = 80,558,260,828.38
  5. Step 5: Solve for x
    x = 80,558,260,828.38/308,046.60
  6. Step 6: Final answer
    x = 261,513.23

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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.