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Finding the Fourth Proportional to 268,423.20, 402,289.20 and 205,783.20

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Solution

The fourth proportional to 268,423.20, 402,289.20 and 205,783.20 is: 308,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,423.20 : 402,289.20 = 205,783.20 : x
  2. Step 2: Convert to fraction form
    268,423.20/402,289.20 = 205,783.20/x
  3. Step 3: Cross multiply
    268,423.20x = 402,289.20 × 205,783.20
  4. Step 4: Simplify right side
    268,423.20x = 82,784,358,901.44
  5. Step 5: Solve for x
    x = 82,784,358,901.44/268,423.20
  6. Step 6: Final answer
    x = 308,409.85

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Why These Related Problems?

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