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Finding the Fourth Proportional to 441,542, 662,411.72 and 161,059.24

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Solution

The fourth proportional to 441,542, 662,411.72 and 161,059.24 is: 241,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,542 : 662,411.72 = 161,059.24 : x
  2. Step 2: Convert to fraction form
    441,542/662,411.72 = 161,059.24/x
  3. Step 3: Cross multiply
    441,542x = 662,411.72 × 161,059.24
  4. Step 4: Simplify right side
    441,542x = 106,687,528,190.29
  5. Step 5: Solve for x
    x = 106,687,528,190.29/441,542
  6. Step 6: Final answer
    x = 241,624.87

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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.