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Finding the Fourth Proportional to 412,558.88, 619,016.13 and 223,152.60

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Solution

The fourth proportional to 412,558.88, 619,016.13 and 223,152.60 is: 334,825.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,558.88 : 619,016.13 = 223,152.60 : x
  2. Step 2: Convert to fraction form
    412,558.88/619,016.13 = 223,152.60/x
  3. Step 3: Cross multiply
    412,558.88x = 619,016.13 × 223,152.60
  4. Step 4: Simplify right side
    412,558.88x = 138,135,058,851.44
  5. Step 5: Solve for x
    x = 138,135,058,851.44/412,558.88
  6. Step 6: Final answer
    x = 334,825.08

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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.