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Finding the Fourth Proportional to 382,464.60, 573,696.90 and 172,512.60

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Solution

The fourth proportional to 382,464.60, 573,696.90 and 172,512.60 is: 258,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,464.60 : 573,696.90 = 172,512.60 : x
  2. Step 2: Convert to fraction form
    382,464.60/573,696.90 = 172,512.60/x
  3. Step 3: Cross multiply
    382,464.60x = 573,696.90 × 172,512.60
  4. Step 4: Simplify right side
    382,464.60x = 98,969,943,830.94
  5. Step 5: Solve for x
    x = 98,969,943,830.94/382,464.60
  6. Step 6: Final answer
    x = 258,768.90

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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.