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Finding the Fourth Proportional to 461,679.36, 692,484.44 and 162,162.56

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Solution

The fourth proportional to 461,679.36, 692,484.44 and 162,162.56 is: 243,231.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,679.36 : 692,484.44 = 162,162.56 : x
  2. Step 2: Convert to fraction form
    461,679.36/692,484.44 = 162,162.56/x
  3. Step 3: Cross multiply
    461,679.36x = 692,484.44 × 162,162.56
  4. Step 4: Simplify right side
    461,679.36x = 112,295,049,550.57
  5. Step 5: Solve for x
    x = 112,295,049,550.57/461,679.36
  6. Step 6: Final answer
    x = 243,231.69

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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.