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Finding the Fourth Proportional to 412,180.68, 567,838.26 and 387,380.10

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Solution

The fourth proportional to 412,180.68, 567,838.26 and 387,380.10 is: 533,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,180.68 : 567,838.26 = 387,380.10 : x
  2. Step 2: Convert to fraction form
    412,180.68/567,838.26 = 387,380.10/x
  3. Step 3: Cross multiply
    412,180.68x = 567,838.26 × 387,380.10
  4. Step 4: Simplify right side
    412,180.68x = 219,969,241,942.63
  5. Step 5: Solve for x
    x = 219,969,241,942.63/412,180.68
  6. Step 6: Final answer
    x = 533,671.89

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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.