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Finding the Fourth Proportional to 374,119.50, 516,285 and 204,353.58

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Solution

The fourth proportional to 374,119.50, 516,285 and 204,353.58 is: 282,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,119.50 : 516,285 = 204,353.58 : x
  2. Step 2: Convert to fraction form
    374,119.50/516,285 = 204,353.58/x
  3. Step 3: Cross multiply
    374,119.50x = 516,285 × 204,353.58
  4. Step 4: Simplify right side
    374,119.50x = 105,504,688,050.30
  5. Step 5: Solve for x
    x = 105,504,688,050.30/374,119.50
  6. Step 6: Final answer
    x = 282,007.99

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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.