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Finding the Fourth Proportional to 374,805.90, 517,236.22 and 205,036.38

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Solution

The fourth proportional to 374,805.90, 517,236.22 and 205,036.38 is: 282,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,805.90 : 517,236.22 = 205,036.38 : x
  2. Step 2: Convert to fraction form
    374,805.90/517,236.22 = 205,036.38/x
  3. Step 3: Cross multiply
    374,805.90x = 517,236.22 × 205,036.38
  4. Step 4: Simplify right side
    374,805.90x = 106,052,239,567.50
  5. Step 5: Solve for x
    x = 106,052,239,567.50/374,805.90
  6. Step 6: Final answer
    x = 282,952.43

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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.