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Finding the Fourth Proportional to 512,887.12, 707,747.16 and 283,441.66

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Solution

The fourth proportional to 512,887.12, 707,747.16 and 283,441.66 is: 391,129.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,887.12 : 707,747.16 = 283,441.66 : x
  2. Step 2: Convert to fraction form
    512,887.12/707,747.16 = 283,441.66/x
  3. Step 3: Cross multiply
    512,887.12x = 707,747.16 × 283,441.66
  4. Step 4: Simplify right side
    512,887.12x = 200,605,029,890.69
  5. Step 5: Solve for x
    x = 200,605,029,890.69/512,887.12
  6. Step 6: Final answer
    x = 391,129.01

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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.