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Finding the Fourth Proportional to 312,850.62, 469,308.87 and 102,504.96

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Solution

The fourth proportional to 312,850.62, 469,308.87 and 102,504.96 is: 153,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,850.62 : 469,308.87 = 102,504.96 : x
  2. Step 2: Convert to fraction form
    312,850.62/469,308.87 = 102,504.96/x
  3. Step 3: Cross multiply
    312,850.62x = 469,308.87 × 102,504.96
  4. Step 4: Simplify right side
    312,850.62x = 48,106,486,947.00
  5. Step 5: Solve for x
    x = 48,106,486,947.00/312,850.62
  6. Step 6: Final answer
    x = 153,768.23

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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.