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Finding the Fourth Proportional to 280,705.46, 420,303.65 and 213,827.00

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Solution

The fourth proportional to 280,705.46, 420,303.65 and 213,827.00 is: 320,165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.46 : 420,303.65 = 213,827.00 : x
  2. Step 2: Convert to fraction form
    280,705.46/420,303.65 = 213,827.00/x
  3. Step 3: Cross multiply
    280,705.46x = 420,303.65 × 213,827.00
  4. Step 4: Simplify right side
    280,705.46x = 89,872,267,001.60
  5. Step 5: Solve for x
    x = 89,872,267,001.60/280,705.46
  6. Step 6: Final answer
    x = 320,165.73

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