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Finding the Fourth Proportional to 412,419.88, 621,439.27 and 339,180.40

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Solution

The fourth proportional to 412,419.88, 621,439.27 and 339,180.40 is: 511,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,419.88 : 621,439.27 = 339,180.40 : x
  2. Step 2: Convert to fraction form
    412,419.88/621,439.27 = 339,180.40/x
  3. Step 3: Cross multiply
    412,419.88x = 621,439.27 × 339,180.40
  4. Step 4: Simplify right side
    412,419.88x = 210,780,020,174.31
  5. Step 5: Solve for x
    x = 210,780,020,174.31/412,419.88
  6. Step 6: Final answer
    x = 511,081.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.