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Finding the Fourth Proportional to 375,104.54, 517,645.14 and 205,349.60

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Solution

The fourth proportional to 375,104.54, 517,645.14 and 205,349.60 is: 283,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,104.54 : 517,645.14 = 205,349.60 : x
  2. Step 2: Convert to fraction form
    375,104.54/517,645.14 = 205,349.60/x
  3. Step 3: Cross multiply
    375,104.54x = 517,645.14 × 205,349.60
  4. Step 4: Simplify right side
    375,104.54x = 106,298,222,440.94
  5. Step 5: Solve for x
    x = 106,298,222,440.94/375,104.54
  6. Step 6: Final answer
    x = 283,382.93

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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.