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Finding the Fourth Proportional to 288,433.50, 432,650.25 and 91,441.50

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Solution

The fourth proportional to 288,433.50, 432,650.25 and 91,441.50 is: 137,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,433.50 : 432,650.25 = 91,441.50 : x
  2. Step 2: Convert to fraction form
    288,433.50/432,650.25 = 91,441.50/x
  3. Step 3: Cross multiply
    288,433.50x = 432,650.25 × 91,441.50
  4. Step 4: Simplify right side
    288,433.50x = 39,562,187,835.38
  5. Step 5: Solve for x
    x = 39,562,187,835.38/288,433.50
  6. Step 6: Final answer
    x = 137,162.25

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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.