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Finding the Fourth Proportional to 510,894.18, 765,552.87 and 323,512.02

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Solution

The fourth proportional to 510,894.18, 765,552.87 and 323,512.02 is: 484,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,894.18 : 765,552.87 = 323,512.02 : x
  2. Step 2: Convert to fraction form
    510,894.18/765,552.87 = 323,512.02/x
  3. Step 3: Cross multiply
    510,894.18x = 765,552.87 × 323,512.02
  4. Step 4: Simplify right side
    510,894.18x = 247,665,555,390.50
  5. Step 5: Solve for x
    x = 247,665,555,390.50/510,894.18
  6. Step 6: Final answer
    x = 484,768.79

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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.