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Finding the Fourth Proportional to 462,099.26, 693,143.40 and 146,558.90

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Solution

The fourth proportional to 462,099.26, 693,143.40 and 146,558.90 is: 219,836.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,099.26 : 693,143.40 = 146,558.90 : x
  2. Step 2: Convert to fraction form
    462,099.26/693,143.40 = 146,558.90/x
  3. Step 3: Cross multiply
    462,099.26x = 693,143.40 × 146,558.90
  4. Step 4: Simplify right side
    462,099.26x = 101,586,334,246.26
  5. Step 5: Solve for x
    x = 101,586,334,246.26/462,099.26
  6. Step 6: Final answer
    x = 219,836.61

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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.