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Finding the Fourth Proportional to 494,078.40, 741,117.60 and 178,545.60

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Solution

The fourth proportional to 494,078.40, 741,117.60 and 178,545.60 is: 267,818.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,078.40 : 741,117.60 = 178,545.60 : x
  2. Step 2: Convert to fraction form
    494,078.40/741,117.60 = 178,545.60/x
  3. Step 3: Cross multiply
    494,078.40x = 741,117.60 × 178,545.60
  4. Step 4: Simplify right side
    494,078.40x = 132,323,286,562.56
  5. Step 5: Solve for x
    x = 132,323,286,562.56/494,078.40
  6. Step 6: Final answer
    x = 267,818.40

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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.