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Finding the Fourth Proportional to 272,280.60, 408,858.30 and 205,795.80

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Solution

The fourth proportional to 272,280.60, 408,858.30 and 205,795.80 is: 309,024.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,280.60 : 408,858.30 = 205,795.80 : x
  2. Step 2: Convert to fraction form
    272,280.60/408,858.30 = 205,795.80/x
  3. Step 3: Cross multiply
    272,280.60x = 408,858.30 × 205,795.80
  4. Step 4: Simplify right side
    272,280.60x = 84,141,320,935.14
  5. Step 5: Solve for x
    x = 84,141,320,935.14/272,280.60
  6. Step 6: Final answer
    x = 309,024.30

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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.