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Finding the Fourth Proportional to 333,187.53, 499,466.00 and 205,182.47

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Solution

The fourth proportional to 333,187.53, 499,466.00 and 205,182.47 is: 307,579.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,187.53 : 499,466.00 = 205,182.47 : x
  2. Step 2: Convert to fraction form
    333,187.53/499,466.00 = 205,182.47/x
  3. Step 3: Cross multiply
    333,187.53x = 499,466.00 × 205,182.47
  4. Step 4: Simplify right side
    333,187.53x = 102,481,665,358.99
  5. Step 5: Solve for x
    x = 102,481,665,358.99/333,187.53
  6. Step 6: Final answer
    x = 307,579.54

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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.