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Finding the Fourth Proportional to 375,170.86, 517,735.80 and 205,405

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Solution

The fourth proportional to 375,170.86, 517,735.80 and 205,405 is: 283,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,170.86 : 517,735.80 = 205,405 : x
  2. Step 2: Convert to fraction form
    375,170.86/517,735.80 = 205,405/x
  3. Step 3: Cross multiply
    375,170.86x = 517,735.80 × 205,405
  4. Step 4: Simplify right side
    375,170.86x = 106,345,521,999
  5. Step 5: Solve for x
    x = 106,345,521,999/375,170.86
  6. Step 6: Final answer
    x = 283,458.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.