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Finding the Fourth Proportional to 475,185.06, 712,883.97 and 159,633.36

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Solution

The fourth proportional to 475,185.06, 712,883.97 and 159,633.36 is: 239,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.06 : 712,883.97 = 159,633.36 : x
  2. Step 2: Convert to fraction form
    475,185.06/712,883.97 = 159,633.36/x
  3. Step 3: Cross multiply
    475,185.06x = 712,883.97 × 159,633.36
  4. Step 4: Simplify right side
    475,185.06x = 113,800,063,421.24
  5. Step 5: Solve for x
    x = 113,800,063,421.24/475,185.06
  6. Step 6: Final answer
    x = 239,485.78

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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.