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Finding the Fourth Proportional to 291,706.40, 437,608.20 and 114,219.20

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Solution

The fourth proportional to 291,706.40, 437,608.20 and 114,219.20 is: 171,347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,706.40 : 437,608.20 = 114,219.20 : x
  2. Step 2: Convert to fraction form
    291,706.40/437,608.20 = 114,219.20/x
  3. Step 3: Cross multiply
    291,706.40x = 437,608.20 × 114,219.20
  4. Step 4: Simplify right side
    291,706.40x = 49,983,258,517.44
  5. Step 5: Solve for x
    x = 49,983,258,517.44/291,706.40
  6. Step 6: Final answer
    x = 171,347.83

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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.