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Finding the Fourth Proportional to 492,599.78, 739,176.49 and 267,975.95

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Solution

The fourth proportional to 492,599.78, 739,176.49 and 267,975.95 is: 402,114.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,599.78 : 739,176.49 = 267,975.95 : x
  2. Step 2: Convert to fraction form
    492,599.78/739,176.49 = 267,975.95/x
  3. Step 3: Cross multiply
    492,599.78x = 739,176.49 × 267,975.95
  4. Step 4: Simplify right side
    492,599.78x = 198,081,521,536.42
  5. Step 5: Solve for x
    x = 198,081,521,536.42/492,599.78
  6. Step 6: Final answer
    x = 402,114.51

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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.