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Finding the Fourth Proportional to 475,185.81, 712,885.11 and 159,634.11

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Solution

The fourth proportional to 475,185.81, 712,885.11 and 159,634.11 is: 239,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,185.81 : 712,885.11 = 159,634.11 : x
  2. Step 2: Convert to fraction form
    475,185.81/712,885.11 = 159,634.11/x
  3. Step 3: Cross multiply
    475,185.81x = 712,885.11 × 159,634.11
  4. Step 4: Simplify right side
    475,185.81x = 113,800,780,067.10
  5. Step 5: Solve for x
    x = 113,800,780,067.10/475,185.81
  6. Step 6: Final answer
    x = 239,486.91

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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.