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Finding the Fourth Proportional to 405,103.20, 559,048.26 and 223,819.32

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Solution

The fourth proportional to 405,103.20, 559,048.26 and 223,819.32 is: 308,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,103.20 : 559,048.26 = 223,819.32 : x
  2. Step 2: Convert to fraction form
    405,103.20/559,048.26 = 223,819.32/x
  3. Step 3: Cross multiply
    405,103.20x = 559,048.26 × 223,819.32
  4. Step 4: Simplify right side
    405,103.20x = 125,125,801,400.38
  5. Step 5: Solve for x
    x = 125,125,801,400.38/405,103.20
  6. Step 6: Final answer
    x = 308,873.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.