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Finding the Fourth Proportional to 305,361.20, 457,823.10 and 127,776.80

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Solution

The fourth proportional to 305,361.20, 457,823.10 and 127,776.80 is: 191,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,361.20 : 457,823.10 = 127,776.80 : x
  2. Step 2: Convert to fraction form
    305,361.20/457,823.10 = 127,776.80/x
  3. Step 3: Cross multiply
    305,361.20x = 457,823.10 × 127,776.80
  4. Step 4: Simplify right side
    305,361.20x = 58,499,170,684.08
  5. Step 5: Solve for x
    x = 58,499,170,684.08/305,361.20
  6. Step 6: Final answer
    x = 191,573.69

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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.