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Finding the Fourth Proportional to 510,184.28, 705,025.34 and 382,638.44

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Solution

The fourth proportional to 510,184.28, 705,025.34 and 382,638.44 is: 528,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,184.28 : 705,025.34 = 382,638.44 : x
  2. Step 2: Convert to fraction form
    510,184.28/705,025.34 = 382,638.44/x
  3. Step 3: Cross multiply
    510,184.28x = 705,025.34 × 382,638.44
  4. Step 4: Simplify right side
    510,184.28x = 269,769,790,819.75
  5. Step 5: Solve for x
    x = 269,769,790,819.75/510,184.28
  6. Step 6: Final answer
    x = 528,769.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.