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Finding the Fourth Proportional to 410,847, 616,322.34 and 141,027.72

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Solution

The fourth proportional to 410,847, 616,322.34 and 141,027.72 is: 211,559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,847 : 616,322.34 = 141,027.72 : x
  2. Step 2: Convert to fraction form
    410,847/616,322.34 = 141,027.72/x
  3. Step 3: Cross multiply
    410,847x = 616,322.34 × 141,027.72
  4. Step 4: Simplify right side
    410,847x = 86,918,534,395.26
  5. Step 5: Solve for x
    x = 86,918,534,395.26/410,847
  6. Step 6: Final answer
    x = 211,559.37

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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.