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Finding the Fourth Proportional to 357,724.24, 493,551.80 and 214,432

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Solution

The fourth proportional to 357,724.24, 493,551.80 and 214,432 is: 295,851.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,724.24 : 493,551.80 = 214,432 : x
  2. Step 2: Convert to fraction form
    357,724.24/493,551.80 = 214,432/x
  3. Step 3: Cross multiply
    357,724.24x = 493,551.80 × 214,432
  4. Step 4: Simplify right side
    357,724.24x = 105,833,299,577.60
  5. Step 5: Solve for x
    x = 105,833,299,577.60/357,724.24
  6. Step 6: Final answer
    x = 295,851.63

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