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Finding the Fourth Proportional to 382,451.10, 573,676.65 and 380,118.30

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Solution

The fourth proportional to 382,451.10, 573,676.65 and 380,118.30 is: 570,177.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,451.10 : 573,676.65 = 380,118.30 : x
  2. Step 2: Convert to fraction form
    382,451.10/573,676.65 = 380,118.30/x
  3. Step 3: Cross multiply
    382,451.10x = 573,676.65 × 380,118.30
  4. Step 4: Simplify right side
    382,451.10x = 218,064,992,947.70
  5. Step 5: Solve for x
    x = 218,064,992,947.70/382,451.10
  6. Step 6: Final answer
    x = 570,177.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.