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Finding the Fourth Proportional to 382,336.64, 573,467.88 and 116,099.46

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Solution

The fourth proportional to 382,336.64, 573,467.88 and 116,099.46 is: 174,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,336.64 : 573,467.88 = 116,099.46 : x
  2. Step 2: Convert to fraction form
    382,336.64/573,467.88 = 116,099.46/x
  3. Step 3: Cross multiply
    382,336.64x = 573,467.88 × 116,099.46
  4. Step 4: Simplify right side
    382,336.64x = 66,579,311,195.34
  5. Step 5: Solve for x
    x = 66,579,311,195.34/382,336.64
  6. Step 6: Final answer
    x = 174,137.93

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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.