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Finding the Fourth Proportional to 296,741.68, 409,280.28 and 206,097.76

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Solution

The fourth proportional to 296,741.68, 409,280.28 and 206,097.76 is: 284,259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,741.68 : 409,280.28 = 206,097.76 : x
  2. Step 2: Convert to fraction form
    296,741.68/409,280.28 = 206,097.76/x
  3. Step 3: Cross multiply
    296,741.68x = 409,280.28 × 206,097.76
  4. Step 4: Simplify right side
    296,741.68x = 84,351,748,920.17
  5. Step 5: Solve for x
    x = 84,351,748,920.17/296,741.68
  6. Step 6: Final answer
    x = 284,259.86

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