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Finding the Fourth Proportional to 512,768.54, 707,617.89 and 283,341.65

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Solution

The fourth proportional to 512,768.54, 707,617.89 and 283,341.65 is: 391,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,768.54 : 707,617.89 = 283,341.65 : x
  2. Step 2: Convert to fraction form
    512,768.54/707,617.89 = 283,341.65/x
  3. Step 3: Cross multiply
    512,768.54x = 707,617.89 × 283,341.65
  4. Step 4: Simplify right side
    512,768.54x = 200,497,616,984.03
  5. Step 5: Solve for x
    x = 200,497,616,984.03/512,768.54
  6. Step 6: Final answer
    x = 391,009.98

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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.