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Finding the Fourth Proportional to 510,224.42, 703,874.10 and 328,994.56

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Solution

The fourth proportional to 510,224.42, 703,874.10 and 328,994.56 is: 453,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,224.42 : 703,874.10 = 328,994.56 : x
  2. Step 2: Convert to fraction form
    510,224.42/703,874.10 = 328,994.56/x
  3. Step 3: Cross multiply
    510,224.42x = 703,874.10 × 328,994.56
  4. Step 4: Simplify right side
    510,224.42x = 231,570,749,824.90
  5. Step 5: Solve for x
    x = 231,570,749,824.90/510,224.42
  6. Step 6: Final answer
    x = 453,860.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.