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Finding the Fourth Proportional to 422,412.50, 633,619.56 and 102,563.02

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Solution

The fourth proportional to 422,412.50, 633,619.56 and 102,563.02 is: 153,844.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,412.50 : 633,619.56 = 102,563.02 : x
  2. Step 2: Convert to fraction form
    422,412.50/633,619.56 = 102,563.02/x
  3. Step 3: Cross multiply
    422,412.50x = 633,619.56 × 102,563.02
  4. Step 4: Simplify right side
    422,412.50x = 64,985,932,436.57
  5. Step 5: Solve for x
    x = 64,985,932,436.57/422,412.50
  6. Step 6: Final answer
    x = 153,844.72

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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.