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Finding the Fourth Proportional to 524,639.81, 786,742.44 and 164,690.39

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Solution

The fourth proportional to 524,639.81, 786,742.44 and 164,690.39 is: 246,967.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,639.81 : 786,742.44 = 164,690.39 : x
  2. Step 2: Convert to fraction form
    524,639.81/786,742.44 = 164,690.39/x
  3. Step 3: Cross multiply
    524,639.81x = 786,742.44 × 164,690.39
  4. Step 4: Simplify right side
    524,639.81x = 129,568,915,339.44
  5. Step 5: Solve for x
    x = 129,568,915,339.44/524,639.81
  6. Step 6: Final answer
    x = 246,967.37

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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.