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Finding the Fourth Proportional to 313,867.80, 470,801.70 and 187,896.60

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Solution

The fourth proportional to 313,867.80, 470,801.70 and 187,896.60 is: 281,844.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,867.80 : 470,801.70 = 187,896.60 : x
  2. Step 2: Convert to fraction form
    313,867.80/470,801.70 = 187,896.60/x
  3. Step 3: Cross multiply
    313,867.80x = 470,801.70 × 187,896.60
  4. Step 4: Simplify right side
    313,867.80x = 88,462,038,704.22
  5. Step 5: Solve for x
    x = 88,462,038,704.22/313,867.80
  6. Step 6: Final answer
    x = 281,844.90

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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.