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Finding the Fourth Proportional to 507,892.67, 762,088.75 and 204,274.79

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Solution

The fourth proportional to 507,892.67, 762,088.75 and 204,274.79 is: 306,512.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,892.67 : 762,088.75 = 204,274.79 : x
  2. Step 2: Convert to fraction form
    507,892.67/762,088.75 = 204,274.79/x
  3. Step 3: Cross multiply
    507,892.67x = 762,088.75 × 204,274.79
  4. Step 4: Simplify right side
    507,892.67x = 155,675,515,046.48
  5. Step 5: Solve for x
    x = 155,675,515,046.48/507,892.67
  6. Step 6: Final answer
    x = 306,512.63

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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.