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Finding the Fourth Proportional to 229,509.30, 343,927.80 and 205,816.80

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Solution

The fourth proportional to 229,509.30, 343,927.80 and 205,816.80 is: 308,423.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509.30 : 343,927.80 = 205,816.80 : x
  2. Step 2: Convert to fraction form
    229,509.30/343,927.80 = 205,816.80/x
  3. Step 3: Cross multiply
    229,509.30x = 343,927.80 × 205,816.80
  4. Step 4: Simplify right side
    229,509.30x = 70,786,119,227.04
  5. Step 5: Solve for x
    x = 70,786,119,227.04/229,509.30
  6. Step 6: Final answer
    x = 308,423.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.