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Finding the Fourth Proportional to 305,648.62, 457,826.55 and 193,270.84

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Solution

The fourth proportional to 305,648.62, 457,826.55 and 193,270.84 is: 289,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,648.62 : 457,826.55 = 193,270.84 : x
  2. Step 2: Convert to fraction form
    305,648.62/457,826.55 = 193,270.84/x
  3. Step 3: Cross multiply
    305,648.62x = 457,826.55 × 193,270.84
  4. Step 4: Simplify right side
    305,648.62x = 88,484,521,892.80
  5. Step 5: Solve for x
    x = 88,484,521,892.80/305,648.62
  6. Step 6: Final answer
    x = 289,497.53

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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.