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Finding the Fourth Proportional to 294,562.10, 442,361.55 and 285,230.90

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Solution

The fourth proportional to 294,562.10, 442,361.55 and 285,230.90 is: 428,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,562.10 : 442,361.55 = 285,230.90 : x
  2. Step 2: Convert to fraction form
    294,562.10/442,361.55 = 285,230.90/x
  3. Step 3: Cross multiply
    294,562.10x = 442,361.55 × 285,230.90
  4. Step 4: Simplify right side
    294,562.10x = 126,175,183,031.90
  5. Step 5: Solve for x
    x = 126,175,183,031.90/294,562.10
  6. Step 6: Final answer
    x = 428,348.33

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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.