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Finding the Fourth Proportional to 403,205.60, 603,933.60 and 333,221.60

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Solution

The fourth proportional to 403,205.60, 603,933.60 and 333,221.60 is: 499,109.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,205.60 : 603,933.60 = 333,221.60 : x
  2. Step 2: Convert to fraction form
    403,205.60/603,933.60 = 333,221.60/x
  3. Step 3: Cross multiply
    403,205.60x = 603,933.60 × 333,221.60
  4. Step 4: Simplify right side
    403,205.60x = 201,243,720,485.76
  5. Step 5: Solve for x
    x = 201,243,720,485.76/403,205.60
  6. Step 6: Final answer
    x = 499,109.44

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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.