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Finding the Fourth Proportional to 512,979.48, 707,889.78 and 283,525.02

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Solution

The fourth proportional to 512,979.48, 707,889.78 and 283,525.02 is: 391,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,979.48 : 707,889.78 = 283,525.02 : x
  2. Step 2: Convert to fraction form
    512,979.48/707,889.78 = 283,525.02/x
  3. Step 3: Cross multiply
    512,979.48x = 707,889.78 × 283,525.02
  4. Step 4: Simplify right side
    512,979.48x = 200,704,464,032.30
  5. Step 5: Solve for x
    x = 200,704,464,032.30/512,979.48
  6. Step 6: Final answer
    x = 391,252.42

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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.