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Finding the Fourth Proportional to 297,823.50, 446,735.25 and 76,207.50

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Solution

The fourth proportional to 297,823.50, 446,735.25 and 76,207.50 is: 114,311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,823.50 : 446,735.25 = 76,207.50 : x
  2. Step 2: Convert to fraction form
    297,823.50/446,735.25 = 76,207.50/x
  3. Step 3: Cross multiply
    297,823.50x = 446,735.25 × 76,207.50
  4. Step 4: Simplify right side
    297,823.50x = 34,044,576,564.38
  5. Step 5: Solve for x
    x = 34,044,576,564.38/297,823.50
  6. Step 6: Final answer
    x = 114,311.25

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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.