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Finding the Fourth Proportional to 382,818.51, 574,348.46 and 180,406.44

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Solution

The fourth proportional to 382,818.51, 574,348.46 and 180,406.44 is: 270,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,818.51 : 574,348.46 = 180,406.44 : x
  2. Step 2: Convert to fraction form
    382,818.51/574,348.46 = 180,406.44/x
  3. Step 3: Cross multiply
    382,818.51x = 574,348.46 × 180,406.44
  4. Step 4: Simplify right side
    382,818.51x = 103,616,160,086.05
  5. Step 5: Solve for x
    x = 103,616,160,086.05/382,818.51
  6. Step 6: Final answer
    x = 270,666.54

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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.