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Finding the Fourth Proportional to 398,458.62, 597,512.07 and 114,084.63

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Solution

The fourth proportional to 398,458.62, 597,512.07 and 114,084.63 is: 171,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,458.62 : 597,512.07 = 114,084.63 : x
  2. Step 2: Convert to fraction form
    398,458.62/597,512.07 = 114,084.63/x
  3. Step 3: Cross multiply
    398,458.62x = 597,512.07 × 114,084.63
  4. Step 4: Simplify right side
    398,458.62x = 68,166,943,426.48
  5. Step 5: Solve for x
    x = 68,166,943,426.48/398,458.62
  6. Step 6: Final answer
    x = 171,076.59

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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.