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Finding the Fourth Proportional to 403,212.60, 603,944.10 and 333,228.60

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Solution

The fourth proportional to 403,212.60, 603,944.10 and 333,228.60 is: 499,119.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,212.60 : 603,944.10 = 333,228.60 : x
  2. Step 2: Convert to fraction form
    403,212.60/603,944.10 = 333,228.60/x
  3. Step 3: Cross multiply
    403,212.60x = 603,944.10 × 333,228.60
  4. Step 4: Simplify right side
    403,212.60x = 201,251,446,921.26
  5. Step 5: Solve for x
    x = 201,251,446,921.26/403,212.60
  6. Step 6: Final answer
    x = 499,119.94

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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.