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Finding the Fourth Proportional to 413,735.46, 620,024.58 and 223,785.60

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Solution

The fourth proportional to 413,735.46, 620,024.58 and 223,785.60 is: 335,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,735.46 : 620,024.58 = 223,785.60 : x
  2. Step 2: Convert to fraction form
    413,735.46/620,024.58 = 223,785.60/x
  3. Step 3: Cross multiply
    413,735.46x = 620,024.58 × 223,785.60
  4. Step 4: Simplify right side
    413,735.46x = 138,752,572,650.05
  5. Step 5: Solve for x
    x = 138,752,572,650.05/413,735.46
  6. Step 6: Final answer
    x = 335,365.44

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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.