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Finding the Fourth Proportional to 382,023.20, 573,034.80 and 343,969.40

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Solution

The fourth proportional to 382,023.20, 573,034.80 and 343,969.40 is: 515,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,023.20 : 573,034.80 = 343,969.40 : x
  2. Step 2: Convert to fraction form
    382,023.20/573,034.80 = 343,969.40/x
  3. Step 3: Cross multiply
    382,023.20x = 573,034.80 × 343,969.40
  4. Step 4: Simplify right side
    382,023.20x = 197,106,436,335.12
  5. Step 5: Solve for x
    x = 197,106,436,335.12/382,023.20
  6. Step 6: Final answer
    x = 515,954.10

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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.