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Finding the Fourth Proportional to 297,812.36, 446,352.54 and 137,671.67

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Solution

The fourth proportional to 297,812.36, 446,352.54 and 137,671.67 is: 206,338.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,812.36 : 446,352.54 = 137,671.67 : x
  2. Step 2: Convert to fraction form
    297,812.36/446,352.54 = 137,671.67/x
  3. Step 3: Cross multiply
    297,812.36x = 446,352.54 × 137,671.67
  4. Step 4: Simplify right side
    297,812.36x = 61,450,097,358.78
  5. Step 5: Solve for x
    x = 61,450,097,358.78/297,812.36
  6. Step 6: Final answer
    x = 206,338.31

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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.