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Finding the Fourth Proportional to 422,830.65, 634,339.27 and 123,334.67

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Solution

The fourth proportional to 422,830.65, 634,339.27 and 123,334.67 is: 185,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,830.65 : 634,339.27 = 123,334.67 : x
  2. Step 2: Convert to fraction form
    422,830.65/634,339.27 = 123,334.67/x
  3. Step 3: Cross multiply
    422,830.65x = 634,339.27 × 123,334.67
  4. Step 4: Simplify right side
    422,830.65x = 78,236,026,273.51
  5. Step 5: Solve for x
    x = 78,236,026,273.51/422,830.65
  6. Step 6: Final answer
    x = 185,029.22

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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.