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Finding the Fourth Proportional to 408,558.56, 612,838.02 and 128,097.68

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Solution

The fourth proportional to 408,558.56, 612,838.02 and 128,097.68 is: 192,146.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,558.56 : 612,838.02 = 128,097.68 : x
  2. Step 2: Convert to fraction form
    408,558.56/612,838.02 = 128,097.68/x
  3. Step 3: Cross multiply
    408,558.56x = 612,838.02 × 128,097.68
  4. Step 4: Simplify right side
    408,558.56x = 78,503,128,577.79
  5. Step 5: Solve for x
    x = 78,503,128,577.79/408,558.56
  6. Step 6: Final answer
    x = 192,146.58

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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.