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Finding the Fourth Proportional to 374,791, 517,213.20 and 205,027.96

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Solution

The fourth proportional to 374,791, 517,213.20 and 205,027.96 is: 282,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,791 : 517,213.20 = 205,027.96 : x
  2. Step 2: Convert to fraction form
    374,791/517,213.20 = 205,027.96/x
  3. Step 3: Cross multiply
    374,791x = 517,213.20 × 205,027.96
  4. Step 4: Simplify right side
    374,791x = 106,043,167,281.07
  5. Step 5: Solve for x
    x = 106,043,167,281.07/374,791
  6. Step 6: Final answer
    x = 282,939.47

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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.