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Finding the Fourth Proportional to 308,047.60, 461,574.60 and 174,530.80

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Solution

The fourth proportional to 308,047.60, 461,574.60 and 174,530.80 is: 261,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,047.60 : 461,574.60 = 174,530.80 : x
  2. Step 2: Convert to fraction form
    308,047.60/461,574.60 = 174,530.80/x
  3. Step 3: Cross multiply
    308,047.60x = 461,574.60 × 174,530.80
  4. Step 4: Simplify right side
    308,047.60x = 80,558,984,197.68
  5. Step 5: Solve for x
    x = 80,558,984,197.68/308,047.60
  6. Step 6: Final answer
    x = 261,514.73

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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.