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Finding the Fourth Proportional to 475,361.82, 712,562.90 and 297,993.42

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Solution

The fourth proportional to 475,361.82, 712,562.90 and 297,993.42 is: 446,689.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,361.82 : 712,562.90 = 297,993.42 : x
  2. Step 2: Convert to fraction form
    475,361.82/712,562.90 = 297,993.42/x
  3. Step 3: Cross multiply
    475,361.82x = 712,562.90 × 297,993.42
  4. Step 4: Simplify right side
    475,361.82x = 212,339,054,046.15
  5. Step 5: Solve for x
    x = 212,339,054,046.15/475,361.82
  6. Step 6: Final answer
    x = 446,689.33

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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.