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Finding the Fourth Proportional to 512,963.04, 707,827.92 and 283,506.24

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Solution

The fourth proportional to 512,963.04, 707,827.92 and 283,506.24 is: 391,204.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,963.04 : 707,827.92 = 283,506.24 : x
  2. Step 2: Convert to fraction form
    512,963.04/707,827.92 = 283,506.24/x
  3. Step 3: Cross multiply
    512,963.04x = 707,827.92 × 283,506.24
  4. Step 4: Simplify right side
    512,963.04x = 200,673,632,166.22
  5. Step 5: Solve for x
    x = 200,673,632,166.22/512,963.04
  6. Step 6: Final answer
    x = 391,204.86

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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.