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Finding the Fourth Proportional to 413,166.20, 618,566.70 and 254,325.20

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Solution

The fourth proportional to 413,166.20, 618,566.70 and 254,325.20 is: 380,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,166.20 : 618,566.70 = 254,325.20 : x
  2. Step 2: Convert to fraction form
    413,166.20/618,566.70 = 254,325.20/x
  3. Step 3: Cross multiply
    413,166.20x = 618,566.70 × 254,325.20
  4. Step 4: Simplify right side
    413,166.20x = 157,317,099,690.84
  5. Step 5: Solve for x
    x = 157,317,099,690.84/413,166.20
  6. Step 6: Final answer
    x = 380,759.85

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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.