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Finding the Fourth Proportional to 492,098.40, 737,683.20 and 267,127.20

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Solution

The fourth proportional to 492,098.40, 737,683.20 and 267,127.20 is: 400,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.40 : 737,683.20 = 267,127.20 : x
  2. Step 2: Convert to fraction form
    492,098.40/737,683.20 = 267,127.20/x
  3. Step 3: Cross multiply
    492,098.40x = 737,683.20 × 267,127.20
  4. Step 4: Simplify right side
    492,098.40x = 197,055,247,703.04
  5. Step 5: Solve for x
    x = 197,055,247,703.04/492,098.40
  6. Step 6: Final answer
    x = 400,438.71

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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.