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Finding the Fourth Proportional to 305,647.62, 457,825.05 and 193,269.84

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Solution

The fourth proportional to 305,647.62, 457,825.05 and 193,269.84 is: 289,496.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,647.62 : 457,825.05 = 193,269.84 : x
  2. Step 2: Convert to fraction form
    305,647.62/457,825.05 = 193,269.84/x
  3. Step 3: Cross multiply
    305,647.62x = 457,825.05 × 193,269.84
  4. Step 4: Simplify right side
    305,647.62x = 88,483,774,161.49
  5. Step 5: Solve for x
    x = 88,483,774,161.49/305,647.62
  6. Step 6: Final answer
    x = 289,496.04

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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.