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Finding the Fourth Proportional to 510,433.50, 765,591.89 and 136,485.66

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Solution

The fourth proportional to 510,433.50, 765,591.89 and 136,485.66 is: 204,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,433.50 : 765,591.89 = 136,485.66 : x
  2. Step 2: Convert to fraction form
    510,433.50/765,591.89 = 136,485.66/x
  3. Step 3: Cross multiply
    510,433.50x = 765,591.89 × 136,485.66
  4. Step 4: Simplify right side
    510,433.50x = 104,492,313,714.87
  5. Step 5: Solve for x
    x = 104,492,313,714.87/510,433.50
  6. Step 6: Final answer
    x = 204,712.88

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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.