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Finding the Fourth Proportional to 462,506.62, 693,664.59 and 178,099.57

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Solution

The fourth proportional to 462,506.62, 693,664.59 and 178,099.57 is: 267,112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,506.62 : 693,664.59 = 178,099.57 : x
  2. Step 2: Convert to fraction form
    462,506.62/693,664.59 = 178,099.57/x
  3. Step 3: Cross multiply
    462,506.62x = 693,664.59 × 178,099.57
  4. Step 4: Simplify right side
    462,506.62x = 123,541,365,203.23
  5. Step 5: Solve for x
    x = 123,541,365,203.23/462,506.62
  6. Step 6: Final answer
    x = 267,112.64

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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.