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Finding the Fourth Proportional to 375,209.52, 517,794.84 and 205,459.44

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Solution

The fourth proportional to 375,209.52, 517,794.84 and 205,459.44 is: 283,537.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,209.52 : 517,794.84 = 205,459.44 : x
  2. Step 2: Convert to fraction form
    375,209.52/517,794.84 = 205,459.44/x
  3. Step 3: Cross multiply
    375,209.52x = 517,794.84 × 205,459.44
  4. Step 4: Simplify right side
    375,209.52x = 106,385,837,861.29
  5. Step 5: Solve for x
    x = 106,385,837,861.29/375,209.52
  6. Step 6: Final answer
    x = 283,537.15

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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.