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Finding the Fourth Proportional to 512,952.86, 707,911.57 and 283,505.21

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Solution

The fourth proportional to 512,952.86, 707,911.57 and 283,505.21 is: 391,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,952.86 : 707,911.57 = 283,505.21 : x
  2. Step 2: Convert to fraction form
    512,952.86/707,911.57 = 283,505.21/x
  3. Step 3: Cross multiply
    512,952.86x = 707,911.57 × 283,505.21
  4. Step 4: Simplify right side
    512,952.86x = 200,696,620,792.82
  5. Step 5: Solve for x
    x = 200,696,620,792.82/512,952.86
  6. Step 6: Final answer
    x = 391,257.44

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1.5x scale

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.