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Finding the Fourth Proportional to 422,986.50, 634,411.71 and 123,396.66

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Solution

The fourth proportional to 422,986.50, 634,411.71 and 123,396.66 is: 185,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,986.50 : 634,411.71 = 123,396.66 : x
  2. Step 2: Convert to fraction form
    422,986.50/634,411.71 = 123,396.66/x
  3. Step 3: Cross multiply
    422,986.50x = 634,411.71 × 123,396.66
  4. Step 4: Simplify right side
    422,986.50x = 78,284,286,078.89
  5. Step 5: Solve for x
    x = 78,284,286,078.89/422,986.50
  6. Step 6: Final answer
    x = 185,075.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.