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Finding the Fourth Proportional to 510,038, 765,052.42 and 190,179

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Solution

The fourth proportional to 510,038, 765,052.42 and 190,179 is: 285,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,038 : 765,052.42 = 190,179 : x
  2. Step 2: Convert to fraction form
    510,038/765,052.42 = 190,179/x
  3. Step 3: Cross multiply
    510,038x = 765,052.42 × 190,179
  4. Step 4: Simplify right side
    510,038x = 145,496,904,183.18
  5. Step 5: Solve for x
    x = 145,496,904,183.18/510,038
  6. Step 6: Final answer
    x = 285,266.79

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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.