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Finding the Fourth Proportional to 317,633.50, 476,450.25 and 96,017.50

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Solution

The fourth proportional to 317,633.50, 476,450.25 and 96,017.50 is: 144,026.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,633.50 : 476,450.25 = 96,017.50 : x
  2. Step 2: Convert to fraction form
    317,633.50/476,450.25 = 96,017.50/x
  3. Step 3: Cross multiply
    317,633.50x = 476,450.25 × 96,017.50
  4. Step 4: Simplify right side
    317,633.50x = 45,747,561,879.38
  5. Step 5: Solve for x
    x = 45,747,561,879.38/317,633.50
  6. Step 6: Final answer
    x = 144,026.25

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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.