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Finding the Fourth Proportional to 375,206.52, 517,790.70 and 205,456.44

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Solution

The fourth proportional to 375,206.52, 517,790.70 and 205,456.44 is: 283,533.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,206.52 : 517,790.70 = 205,456.44 : x
  2. Step 2: Convert to fraction form
    375,206.52/517,790.70 = 205,456.44/x
  3. Step 3: Cross multiply
    375,206.52x = 517,790.70 × 205,456.44
  4. Step 4: Simplify right side
    375,206.52x = 106,383,433,887.11
  5. Step 5: Solve for x
    x = 106,383,433,887.11/375,206.52
  6. Step 6: Final answer
    x = 283,533.01

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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.