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Finding the Fourth Proportional to 510,224.82, 765,447.94 and 155,229.61

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Solution

The fourth proportional to 510,224.82, 765,447.94 and 155,229.61 is: 232,878.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,224.82 : 765,447.94 = 155,229.61 : x
  2. Step 2: Convert to fraction form
    510,224.82/765,447.94 = 155,229.61/x
  3. Step 3: Cross multiply
    510,224.82x = 765,447.94 × 155,229.61
  4. Step 4: Simplify right side
    510,224.82x = 118,820,185,201.50
  5. Step 5: Solve for x
    x = 118,820,185,201.50/510,224.82
  6. Step 6: Final answer
    x = 232,878.10

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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.