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Finding the Fourth Proportional to 492,756.80, 738,624.90 and 267,641.60

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Solution

The fourth proportional to 492,756.80, 738,624.90 and 267,641.60 is: 401,185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,756.80 : 738,624.90 = 267,641.60 : x
  2. Step 2: Convert to fraction form
    492,756.80/738,624.90 = 267,641.60/x
  3. Step 3: Cross multiply
    492,756.80x = 738,624.90 × 267,641.60
  4. Step 4: Simplify right side
    492,756.80x = 197,686,750,035.84
  5. Step 5: Solve for x
    x = 197,686,750,035.84/492,756.80
  6. Step 6: Final answer
    x = 401,185.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.