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Finding the Fourth Proportional to 409,094.87, 612,805.74 and 333,462.95

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Solution

The fourth proportional to 409,094.87, 612,805.74 and 333,462.95 is: 499,512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,094.87 : 612,805.74 = 333,462.95 : x
  2. Step 2: Convert to fraction form
    409,094.87/612,805.74 = 333,462.95/x
  3. Step 3: Cross multiply
    409,094.87x = 612,805.74 × 333,462.95
  4. Step 4: Simplify right side
    409,094.87x = 204,348,006,773.30
  5. Step 5: Solve for x
    x = 204,348,006,773.30/409,094.87
  6. Step 6: Final answer
    x = 499,512.52

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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.