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Finding the Fourth Proportional to 377,812.32, 521,380.16 and 205,727.60

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Solution

The fourth proportional to 377,812.32, 521,380.16 and 205,727.60 is: 283,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,812.32 : 521,380.16 = 205,727.60 : x
  2. Step 2: Convert to fraction form
    377,812.32/521,380.16 = 205,727.60/x
  3. Step 3: Cross multiply
    377,812.32x = 521,380.16 × 205,727.60
  4. Step 4: Simplify right side
    377,812.32x = 107,262,289,004.42
  5. Step 5: Solve for x
    x = 107,262,289,004.42/377,812.32
  6. Step 6: Final answer
    x = 283,903.63

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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.