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Finding the Fourth Proportional to 412,176.47, 618,352.87 and 127,860.85

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Solution

The fourth proportional to 412,176.47, 618,352.87 and 127,860.85 is: 191,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,176.47 : 618,352.87 = 127,860.85 : x
  2. Step 2: Convert to fraction form
    412,176.47/618,352.87 = 127,860.85/x
  3. Step 3: Cross multiply
    412,176.47x = 618,352.87 × 127,860.85
  4. Step 4: Simplify right side
    412,176.47x = 79,063,126,529.70
  5. Step 5: Solve for x
    x = 79,063,126,529.70/412,176.47
  6. Step 6: Final answer
    x = 191,818.63

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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.