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Finding the Fourth Proportional to 390,496.94, 585,076.74 and 213,128.40

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Solution

The fourth proportional to 390,496.94, 585,076.74 and 213,128.40 is: 319,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,496.94 : 585,076.74 = 213,128.40 : x
  2. Step 2: Convert to fraction form
    390,496.94/585,076.74 = 213,128.40/x
  3. Step 3: Cross multiply
    390,496.94x = 585,076.74 × 213,128.40
  4. Step 4: Simplify right side
    390,496.94x = 124,696,469,473.42
  5. Step 5: Solve for x
    x = 124,696,469,473.42/390,496.94
  6. Step 6: Final answer
    x = 319,327.65

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