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Finding the Fourth Proportional to 374,938.86, 517,415.67 and 205,173

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Solution

The fourth proportional to 374,938.86, 517,415.67 and 205,173 is: 283,138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,938.86 : 517,415.67 = 205,173 : x
  2. Step 2: Convert to fraction form
    374,938.86/517,415.67 = 205,173/x
  3. Step 3: Cross multiply
    374,938.86x = 517,415.67 × 205,173
  4. Step 4: Simplify right side
    374,938.86x = 106,159,725,260.91
  5. Step 5: Solve for x
    x = 106,159,725,260.91/374,938.86
  6. Step 6: Final answer
    x = 283,138.76

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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.