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Finding the Fourth Proportional to 462,431.40, 693,128.70 and 262,847.40

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Solution

The fourth proportional to 462,431.40, 693,128.70 and 262,847.40 is: 393,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431.40 : 693,128.70 = 262,847.40 : x
  2. Step 2: Convert to fraction form
    462,431.40/693,128.70 = 262,847.40/x
  3. Step 3: Cross multiply
    462,431.40x = 693,128.70 × 262,847.40
  4. Step 4: Simplify right side
    462,431.40x = 182,187,076,660.38
  5. Step 5: Solve for x
    x = 182,187,076,660.38/462,431.40
  6. Step 6: Final answer
    x = 393,976.44

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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.