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Finding the Fourth Proportional to 524,465.46, 786,481.31 and 164,516.25

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Solution

The fourth proportional to 524,465.46, 786,481.31 and 164,516.25 is: 246,706.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,465.46 : 786,481.31 = 164,516.25 : x
  2. Step 2: Convert to fraction form
    524,465.46/786,481.31 = 164,516.25/x
  3. Step 3: Cross multiply
    524,465.46x = 786,481.31 × 164,516.25
  4. Step 4: Simplify right side
    524,465.46x = 129,388,951,061.30
  5. Step 5: Solve for x
    x = 129,388,951,061.30/524,465.46
  6. Step 6: Final answer
    x = 246,706.34

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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.