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Finding the Fourth Proportional to 492,320.16, 739,814.40 and 267,846.48

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Solution

The fourth proportional to 492,320.16, 739,814.40 and 267,846.48 is: 402,495.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,320.16 : 739,814.40 = 267,846.48 : x
  2. Step 2: Convert to fraction form
    492,320.16/739,814.40 = 267,846.48/x
  3. Step 3: Cross multiply
    492,320.16x = 739,814.40 × 267,846.48
  4. Step 4: Simplify right side
    492,320.16x = 198,156,682,893.31
  5. Step 5: Solve for x
    x = 198,156,682,893.31/492,320.16
  6. Step 6: Final answer
    x = 402,495.57

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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.