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Finding the Fourth Proportional to 512,078.88, 706,471.76 and 320,759.20

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Solution

The fourth proportional to 512,078.88, 706,471.76 and 320,759.20 is: 442,524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,078.88 : 706,471.76 = 320,759.20 : x
  2. Step 2: Convert to fraction form
    512,078.88/706,471.76 = 320,759.20/x
  3. Step 3: Cross multiply
    512,078.88x = 706,471.76 × 320,759.20
  4. Step 4: Simplify right side
    512,078.88x = 226,607,316,560.19
  5. Step 5: Solve for x
    x = 226,607,316,560.19/512,078.88
  6. Step 6: Final answer
    x = 442,524.24

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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.