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Finding the Fourth Proportional to 462,807.17, 694,226.03 and 159,198.28

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Solution

The fourth proportional to 462,807.17, 694,226.03 and 159,198.28 is: 238,802.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,807.17 : 694,226.03 = 159,198.28 : x
  2. Step 2: Convert to fraction form
    462,807.17/694,226.03 = 159,198.28/x
  3. Step 3: Cross multiply
    462,807.17x = 694,226.03 × 159,198.28
  4. Step 4: Simplify right side
    462,807.17x = 110,519,589,907.23
  5. Step 5: Solve for x
    x = 110,519,589,907.23/462,807.17
  6. Step 6: Final answer
    x = 238,802.67

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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.