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Finding the Fourth Proportional to 412,033.40, 618,050.10 and 366,932.60

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Solution

The fourth proportional to 412,033.40, 618,050.10 and 366,932.60 is: 550,398.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,033.40 : 618,050.10 = 366,932.60 : x
  2. Step 2: Convert to fraction form
    412,033.40/618,050.10 = 366,932.60/x
  3. Step 3: Cross multiply
    412,033.40x = 618,050.10 × 366,932.60
  4. Step 4: Simplify right side
    412,033.40x = 226,782,730,123.26
  5. Step 5: Solve for x
    x = 226,782,730,123.26/412,033.40
  6. Step 6: Final answer
    x = 550,398.90

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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.