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Finding the Fourth Proportional to 297,452.96, 446,180.08 and 209,101.28

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Solution

The fourth proportional to 297,452.96, 446,180.08 and 209,101.28 is: 313,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,452.96 : 446,180.08 = 209,101.28 : x
  2. Step 2: Convert to fraction form
    297,452.96/446,180.08 = 209,101.28/x
  3. Step 3: Cross multiply
    297,452.96x = 446,180.08 × 209,101.28
  4. Step 4: Simplify right side
    297,452.96x = 93,296,825,838.50
  5. Step 5: Solve for x
    x = 93,296,825,838.50/297,452.96
  6. Step 6: Final answer
    x = 313,652.37

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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.