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Finding the Fourth Proportional to 512,886.87, 707,746.82 and 283,441.41

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Solution

The fourth proportional to 512,886.87, 707,746.82 and 283,441.41 is: 391,128.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,886.87 : 707,746.82 = 283,441.41 : x
  2. Step 2: Convert to fraction form
    512,886.87/707,746.82 = 283,441.41/x
  3. Step 3: Cross multiply
    512,886.87x = 707,746.82 × 283,441.41
  4. Step 4: Simplify right side
    512,886.87x = 200,604,755,166.61
  5. Step 5: Solve for x
    x = 200,604,755,166.61/512,886.87
  6. Step 6: Final answer
    x = 391,128.66

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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.