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Finding the Fourth Proportional to 451,624.50, 677,482.11 and 119,200.50

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Solution

The fourth proportional to 451,624.50, 677,482.11 and 119,200.50 is: 178,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,624.50 : 677,482.11 = 119,200.50 : x
  2. Step 2: Convert to fraction form
    451,624.50/677,482.11 = 119,200.50/x
  3. Step 3: Cross multiply
    451,624.50x = 677,482.11 × 119,200.50
  4. Step 4: Simplify right side
    451,624.50x = 80,756,206,253.06
  5. Step 5: Solve for x
    x = 80,756,206,253.06/451,624.50
  6. Step 6: Final answer
    x = 178,812.72

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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.