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Finding the Fourth Proportional to 204,323.50, 306,485.25 and 56,579.50

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Solution

The fourth proportional to 204,323.50, 306,485.25 and 56,579.50 is: 84,869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,323.50 : 306,485.25 = 56,579.50 : x
  2. Step 2: Convert to fraction form
    204,323.50/306,485.25 = 56,579.50/x
  3. Step 3: Cross multiply
    204,323.50x = 306,485.25 × 56,579.50
  4. Step 4: Simplify right side
    204,323.50x = 17,340,782,202.38
  5. Step 5: Solve for x
    x = 17,340,782,202.38/204,323.50
  6. Step 6: Final answer
    x = 84,869.25

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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.