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Finding the Fourth Proportional to 409,091.87, 612,801.25 and 333,459.94

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Solution

The fourth proportional to 409,091.87, 612,801.25 and 333,459.94 is: 499,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,091.87 : 612,801.25 = 333,459.94 : x
  2. Step 2: Convert to fraction form
    409,091.87/612,801.25 = 333,459.94/x
  3. Step 3: Cross multiply
    409,091.87x = 612,801.25 × 333,459.94
  4. Step 4: Simplify right side
    409,091.87x = 204,344,666,840.27
  5. Step 5: Solve for x
    x = 204,344,666,840.27/409,091.87
  6. Step 6: Final answer
    x = 499,508.02

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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.