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Finding the Fourth Proportional to 311,829.50, 468,007.14 and 122,422.89

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Solution

The fourth proportional to 311,829.50, 468,007.14 and 122,422.89 is: 183,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,829.50 : 468,007.14 = 122,422.89 : x
  2. Step 2: Convert to fraction form
    311,829.50/468,007.14 = 122,422.89/x
  3. Step 3: Cross multiply
    311,829.50x = 468,007.14 × 122,422.89
  4. Step 4: Simplify right side
    311,829.50x = 57,294,784,279.40
  5. Step 5: Solve for x
    x = 57,294,784,279.40/311,829.50
  6. Step 6: Final answer
    x = 183,737.54

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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.