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Finding the Fourth Proportional to 357,783.59, 493,535.77 and 223,414.31

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Solution

The fourth proportional to 357,783.59, 493,535.77 and 223,414.31 is: 308,183.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,783.59 : 493,535.77 = 223,414.31 : x
  2. Step 2: Convert to fraction form
    357,783.59/493,535.77 = 223,414.31/x
  3. Step 3: Cross multiply
    357,783.59x = 493,535.77 × 223,414.31
  4. Step 4: Simplify right side
    357,783.59x = 110,262,954,190.17
  5. Step 5: Solve for x
    x = 110,262,954,190.17/357,783.59
  6. Step 6: Final answer
    x = 308,183.37

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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.