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Finding the Fourth Proportional to 398,532.96, 597,797.52 and 118,028.64

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Solution

The fourth proportional to 398,532.96, 597,797.52 and 118,028.64 is: 177,042.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,532.96 : 597,797.52 = 118,028.64 : x
  2. Step 2: Convert to fraction form
    398,532.96/597,797.52 = 118,028.64/x
  3. Step 3: Cross multiply
    398,532.96x = 597,797.52 × 118,028.64
  4. Step 4: Simplify right side
    398,532.96x = 70,557,228,280.97
  5. Step 5: Solve for x
    x = 70,557,228,280.97/398,532.96
  6. Step 6: Final answer
    x = 177,042.39

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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.