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Finding the Fourth Proportional to 363,792.12, 545,351.44 and 185,907

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Solution

The fourth proportional to 363,792.12, 545,351.44 and 185,907 is: 278,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,792.12 : 545,351.44 = 185,907 : x
  2. Step 2: Convert to fraction form
    363,792.12/545,351.44 = 185,907/x
  3. Step 3: Cross multiply
    363,792.12x = 545,351.44 × 185,907
  4. Step 4: Simplify right side
    363,792.12x = 101,384,650,156.08
  5. Step 5: Solve for x
    x = 101,384,650,156.08/363,792.12
  6. Step 6: Final answer
    x = 278,688.42

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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.