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Finding the Fourth Proportional to 509,823.40, 764,749.62 and 172,865

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Solution

The fourth proportional to 509,823.40, 764,749.62 and 172,865 is: 259,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,823.40 : 764,749.62 = 172,865 : x
  2. Step 2: Convert to fraction form
    509,823.40/764,749.62 = 172,865/x
  3. Step 3: Cross multiply
    509,823.40x = 764,749.62 × 172,865
  4. Step 4: Simplify right side
    509,823.40x = 132,198,443,061.30
  5. Step 5: Solve for x
    x = 132,198,443,061.30/509,823.40
  6. Step 6: Final answer
    x = 259,302.42

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