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Finding the Fourth Proportional to 300,733.64, 450,959.20 and 174,409.80

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Solution

The fourth proportional to 300,733.64, 450,959.20 and 174,409.80 is: 261,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,733.64 : 450,959.20 = 174,409.80 : x
  2. Step 2: Convert to fraction form
    300,733.64/450,959.20 = 174,409.80/x
  3. Step 3: Cross multiply
    300,733.64x = 450,959.20 × 174,409.80
  4. Step 4: Simplify right side
    300,733.64x = 78,651,703,880.16
  5. Step 5: Solve for x
    x = 78,651,703,880.16/300,733.64
  6. Step 6: Final answer
    x = 261,532.78

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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.