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Finding the Fourth Proportional to 546,851.70, 820,168.20 and 262,541.70

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Solution

The fourth proportional to 546,851.70, 820,168.20 and 262,541.70 is: 393,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,851.70 : 820,168.20 = 262,541.70 : x
  2. Step 2: Convert to fraction form
    546,851.70/820,168.20 = 262,541.70/x
  3. Step 3: Cross multiply
    546,851.70x = 820,168.20 × 262,541.70
  4. Step 4: Simplify right side
    546,851.70x = 215,328,353,513.94
  5. Step 5: Solve for x
    x = 215,328,353,513.94/546,851.70
  6. Step 6: Final answer
    x = 393,760.05

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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.