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Finding the Fourth Proportional to 358,230.34, 494,361.99 and 205,265.50

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Solution

The fourth proportional to 358,230.34, 494,361.99 and 205,265.50 is: 283,268.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,230.34 : 494,361.99 = 205,265.50 : x
  2. Step 2: Convert to fraction form
    358,230.34/494,361.99 = 205,265.50/x
  3. Step 3: Cross multiply
    358,230.34x = 494,361.99 × 205,265.50
  4. Step 4: Simplify right side
    358,230.34x = 101,475,461,058.35
  5. Step 5: Solve for x
    x = 101,475,461,058.35/358,230.34
  6. Step 6: Final answer
    x = 283,268.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.