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Finding the Fourth Proportional to 512,953.00, 707,911.78 and 283,505.35

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Solution

The fourth proportional to 512,953.00, 707,911.78 and 283,505.35 is: 391,257.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,953.00 : 707,911.78 = 283,505.35 : x
  2. Step 2: Convert to fraction form
    512,953.00/707,911.78 = 283,505.35/x
  3. Step 3: Cross multiply
    512,953.00x = 707,911.78 × 283,505.35
  4. Step 4: Simplify right side
    512,953.00x = 200,696,773,418.46
  5. Step 5: Solve for x
    x = 200,696,773,418.46/512,953.00
  6. Step 6: Final answer
    x = 391,257.63

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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.