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Finding the Fourth Proportional to 357,112.76, 535,819.32 and 222,289.54

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Solution

The fourth proportional to 357,112.76, 535,819.32 and 222,289.54 is: 333,527.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,112.76 : 535,819.32 = 222,289.54 : x
  2. Step 2: Convert to fraction form
    357,112.76/535,819.32 = 222,289.54/x
  3. Step 3: Cross multiply
    357,112.76x = 535,819.32 × 222,289.54
  4. Step 4: Simplify right side
    357,112.76x = 119,107,030,165.91
  5. Step 5: Solve for x
    x = 119,107,030,165.91/357,112.76
  6. Step 6: Final answer
    x = 333,527.79

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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.