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Finding the Fourth Proportional to 305,380.66, 457,849.56 and 205,292.61

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Solution

The fourth proportional to 305,380.66, 457,849.56 and 205,292.61 is: 307,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,380.66 : 457,849.56 = 205,292.61 : x
  2. Step 2: Convert to fraction form
    305,380.66/457,849.56 = 205,292.61/x
  3. Step 3: Cross multiply
    305,380.66x = 457,849.56 × 205,292.61
  4. Step 4: Simplify right side
    305,380.66x = 93,993,131,159.75
  5. Step 5: Solve for x
    x = 93,993,131,159.75/305,380.66
  6. Step 6: Final answer
    x = 307,790.06

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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.